A tower that is 101 feet tall casts a shadow 103 feet long. Find the angle of elevation of the sun to the nearest degree.

Answers

Answer 1

Answer:

44.44°

Step-by-step explanation:

A tower that is 101 feet tall casts a shadow 103 feet long. Find the angle of elevation of the sun to the nearest degree.

We solve this question using the Trigonometric function of Tangent

tan θ = Opposite/Adjacent

θ = ?

Opposite = Height of the tower = 101 feet

Adjacent = Length of the shadow = 103 feet

Hence

tan θ = 101/103

θ = arc tan (101/103

θ = arctan(0.9805825242718447)

θ = 44.438294667°

Approximately to the nearest degree = Angle of elevation = 44.44°


Related Questions

If a fair die is rolled 7 times, what is the probability, rounded to the nearest thousandth, of getting at most 1 two?

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Answer:

0.67

Step-by-step explanation: From Delta math

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Step-by-step explanation:

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x = 9.32

Step-by-step explanation:

use the angles strategy

A kayak is $329.95, marked 33% off. Discount: ____ Selling Price __

Answers

Answer:

$108.88

Step-by-step explanation:

because 329.95×0.33= 108.88

How do you do algebra

Answers

Answer:

You download math apps

Step-by-step explanation:

I don't know, I tried to learn it- even the basics- but I vomited on the kitchen table as soon as I practiced an equation.

I'm allergic to algebra.

What is the solution to the system of equations graphed below?
y = x2
y=4x-5
y=x-2
y = 4x - 5
O A. (0,-5)
O B. (0, -2)
C. (1.-1)
D. (2.0)

Answers

The answer is C (1, -1)

Simplify: V24 x V12
a. 6
b. 212
c. 28
d. 122

Answers

Answer:

16.97 or approx 17

Step-by-step explanation:

[tex]\sqrt{24}[/tex] = [tex]\sqrt{4}[/tex][tex]\sqrt{6}[/tex] = 2[tex]\sqrt{6}[/tex]

[tex]\sqrt{12}[/tex] = [tex]\sqrt{4}[/tex][tex]\sqrt{3}[/tex] = 2[tex]\sqrt{3}[/tex]

2[tex]\sqrt{6}[/tex] · 2[tex]\sqrt{3}[/tex] = 4[tex]\sqrt{18}[/tex] = 4[tex]\sqrt{9}[/tex][tex]\sqrt{2}[/tex] = 4·3[tex]\sqrt{2}[/tex] = 12[tex]\sqrt{2}[/tex] which is 16.97 or approx 17

Answer:

16.97

Step-by-step explanation:

The answer of this simplify if 16.97

Which of the following is the least?
A) 27
B 1/4
C 3/8
D 2/11
E) 11%

Answers

Answer:

A) 0.27

B) 1/4 = 0.25

C) 3/8 = 0.375

D) 2/ 11 = 0.1818

E) 11% = 0.11

E is the correct answer

Step-by-step explanation:

Answer:

E)

Step-by-step explanation:

A) 27.0

B) .25

C) .375

D) .22

E) .11

"-3x" + 5 < "-10" Inequality 2: 7x + x - 4 > 28 Which of the following values makes BOTH inequalities TRUE? Select all that apply! 12 "-5" −152 "-8.25" 23 48 325

Answers

Answer:

12, 23, 48, 325

Step-by-step explanation:

So, when given two inequalities and asked to find the values that make both true, it is considered a system of equations. To solve a system of equation, you have to graph the inequalities and find where they intersect.

Inequality 1:

(-3x) + 5 < (-10)

Inequality 2:

7x + x - 4 > 28

simplifies to: 8x - 4 > 28

When graphed, the inequalities don't intersect, but rather have a similar shaded area overlapping from the point of 5 and greater.

Answers that apply from given list would be:

12, 23, 48, 325

Please helppp me :( it’s c^4/c^3

Answers

Answer:

c

Step-by-step explanation:

Because [tex]\frac{c}{c}[/tex] is 1 the equation turns into...

[tex]c^{4-3}[/tex]

which equals...

[tex]c^{1}[/tex]

and [tex]c^{1}[/tex] is just c

For every 5 strawberry's she puts in a basket she eats 2 if she picks 28 strawberries how many does she eat and how many does she eat and put in her basket

Answers

Answer:

she eat 10 Strawberries and puts 18 in her basket

Answer: she eats 10 strawberries, and she puts 15 in the basket.

Step-by-step explanation:

a triangular prims cover with a fold label. the label dose not cover the 2 ends. how much foil is necessary to cover the prism.
ples help I need to pass ​

Answers

Just multiply it all together and that’s ur answer

Answer:

495ft 2

Step-by-step explanation:

I just took the test and I got it right but if you don't I'm so sorry :<

7th grades math help me pleaseeee

Answers

Answer:

7 attendees

Step-by-step explanation:

From the above question, we know that:

$10 = 5 attendees

$14 = x

Cross Multiply

$10 × x attendees = $14 × 5 attendees

x attendees = $14 × 5 attendees/$10

x attendees = 7 attendees

Therefore, if the budget for the cooperate team building is $14, the number of attendees is 7

Does anyone know how to solve his?

Answers

Answer:

Decreasing

-∞ < x < 0

Increasing

0 < x < ∞

What is the polynomial for this?

Answers

Answer:

Polynomial=4x^3+2x^4+15x-5

in standard form:2x^4+4x^3+15x-5

Step-by-step explanation:

What is the perimeter of the rectangle?

Answers

Answer:

28 Centimeters

Step-by-step explanation:

Have a good day :)

What are the roots of the following function:
f(x) = 9x^2 – 12x + 7

Answers

Answer:dollors 15

Step-by-step explanation:

15

The answer to the question is 15 roots to the function

PLEASE ASAP ILL GIVE BRAINLIEST.

Answers

Answer:

The answer is 5 N toward north

Step-by-step explanation:

A sphere has a radius of 12 inches. A second sphere has a radius of 9 inches. What is the difference of the volumes of the spheres?
The volume of the larger sphere is π
cubic inches greater than the volume of the smaller sphere.

Answers

Answer:

Solution given;

for sphere

radius [r]:12inches

another

radius [R]:9inches

Now

difference in volume of sphere:

volume of sphere of having radius [r-R]

=[tex] \frac{4}{3} πr³[/tex]-[tex] \frac{4}{3} πR³[/tex]

=[tex] \frac{4}{3} π[/tex](12³-9³)

= 1332π cubic inches

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Answers

Answer:

352 inches squared

Step-by-step explanation:

the amount of wrapping paper needed can be determined by calculating the total surface area

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2(12x 8) + (2 x 12 x 4) + (2 x 4 x 8) = 192+  96 + 64

Write each repeating decimal with a bar over the repetend:
a. 2.72727...
b. 0.816666...

Answers

Answer:

here's the answer

Step-by-step explanation:

2.72 with a line over the seven and the second 2 (I'm sorry my phone doesn't allow me to put a line)

0.816 with a line over the last digit of 6. hope that helps!!

what is the most common denomonator outof 1/3 1/5

Answers

Answer:

1/5

Step-by-step explanation:

15? I think that's what you were asking

How many centimeters are equal to 0.4 inches?

Answers

Answer: 1.016

Step-by-step explanation: multiply the length value by 2.54

1016

multiply the length value by 2.54

Write in slope-intercept form an equation of the line that passes through the given points. (-16,8), (-4,5)

Answers

Answer:

y=-1/4x+4

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(5-8)/(-4-(-16))

m=-3/(-4+16)

m=-3/12

m=-1/4

y-y1=m(x-x1)

y-8=-1/4(x-(-16))

y-8=-1/4(x+16)

y-8=-1/4x-16/4

y-8=-1/4x-4

y=-1/4x-4+8

y=-1/4x+4

Rewrite using a fractional exponent

[tex]\sqrt[6]{7^2}[/tex]

Answers

Answer:

[tex]7^{\frac{1}{3} }[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]\sqrt[n]{a^{m} }[/tex] ⇔ [tex]a^{\frac{m}{n} }[/tex] , then

[tex]\sqrt[6]{7^{2} }[/tex] = [tex]7^{\frac{2}{6} }[/tex] = [tex]7^{\frac{1}{3} }[/tex]

Curtis estimates that he can run 18 miles per hour. About how many feet per second can Curtis run if there are 5280 feet in a mile?

Answers

Answer:

26.4

Step-by-step explanation:

I had the same question once

Does anyone get this

Answers

Answer:

should be “equal”

Step-by-step explanation:

because we can’t see the drop down options and the question says they’re the same. so i would think it’d be equal

THE ANSWER IS EQUAL. BC IVE DONE THAT BEFORE

1. Two of the angles in a triangle measure 73° and 86°. What is the
measure of the third angle? *

Answers

Answer:

21 degrees

Step-by-step explanation:

A Triangle has the total of 180 degrees. 180 - 73 - 86 = 21

The answer would be 180-86-73=21

A person really wants a Apple. They are going to kick a ball up into the tree and knock a Apple to the ground. How far must they kick the ball?


EXPLAIN YOUR ANSWER! (Please)

(Use the picture to help you)

Answers

Answer:

The person must kick the ball around 31.62 feet high (They really want an apple!)

Step-by-step explanation:

If you think about it, the diagram will look like a triangle, so using the Pythagorean theorem, (a² + b² = c²), you will get around 31.62.

Have a good ay :)

Answer: 31.62

Step-by-step explanation:

Find the distance between the two points coordinate plane below?
a. 6.00
b. 6.40
c. 5.50
d. 4.50

Answers

Answer:

b. 6.40

Step-by-step explanation:

the distance = √(4+1)² + (1-5)²

=√25+16=√41 = 6.40


Find the volume of a cone with diamter 12 and height 8

Answers

Answer:

Step-by-step explanation:

V = 1/3 * pi * r^2 * h

d = 12

r = d/2

r = 12/2

r = 6

V = 1/3 * 3.14 * 6^2 * 8

V = 301.44

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