5. A student wants to know how tall the flagpole at her school is, her eye level is 5.5 feet above
the ground and she stands 36 feet from the base of the flagpole. If the angle of elevation is
25°, what is the height of the flagpole?

Answer:

22.3 ft

Step-by-step explanation:

Here we can make a triangle rectangle with the following vertex:

The student's eye level.

The top of the flagpole

The intersection between a horizontal line that passes through her eye level and a point in the flagpole.

The catheti of this triangle rectangle will be:

The distance between her and the flagpole (36ft)

The height of the flagpole minus the height of her eye level = H

We want to find the value of H.

We also know that the angle of elevation from her point of view is 25°.

(for this angle, the adjacent cathetus is the distance between her and the flagpole)

Now we can remember the relation:

Tan(a) = opposite cathetus/adjacent cathetus.

Then:

Tan(25°) = H/36ft

Solving for H we get:

Tan(25°)*36ft = H = 16.8 ft

And this is the height of the flag pole minus the height of her eye level, then the actual height of the flagpole is:

H + 5.5ft = 16.8 ft + 5.5ft = 22.3 ft

Write an equivalent expression in the form ax+b. Do not include spaces in your answer.
(-7x-10) - (-5x+3)

Which expression has the greatest value?
16
V162
✓642
84

Help please. Number 3 or 4!

Research question: Do the majority of U.S. adults oppose the death penalty?

Based on this research question, here are the hypotheses:

0: 50% of U.S. adults oppose the death penalty.

: A majority (more than 50% of adults) oppose the death penalty.

Suppose a survey was conducted in which a random sample of 1,100 U.S. adults are asked about their opinions on the death penalty, and based on the data, the researchers state, "at the 5% significance level, this survey provides strong evidence that the majority of U.S. adults oppose the death penalty.

Which of the following P-values support this conclusion?

Find the volume V of the cone. Round your answer to the nearest tenth.

The Front and Back sides are both triangles. Explain why he isnt going to divide the base x height by 2.

The area of the surface of an office desk is 12 square feet. The desk is 2 feet wide. How long is it?

If the integers 12, -6, 8 , -5, 7, -9, -11 are marked on the number line, the
number that comes on the extreme left is ________.

The sum of two numbers is 17
The difference of those same two numbers is 3
Find the two numbers
Graph the equations, and determine your answer by marking the point of intersection

Cara’s calculator weighs 0.2 pounds. Cara’s computer weighs 22.5 times as much as her calculator. How much does Cara’s computer weigh?

Which of the following is irrational?
WILL GIVE 20 POINTS!! PLEASE SOMEONE HELP ASAP

whats 24/6- 4/2 whats the answer dawg

What is the angle of the slope

ANSWER QUICK.
Aaliyah has a loyalty card good for a discount at her local hardware store. The item
she wants to buy is priced at $39, before discount and tax. After the discount, and
before tax, the price is $33.54. Find the percent discount.

Done the probability that a randomly selected student will be a junior, given that the student owns a car.

Please help!!!!! pls pls pls

A bag contains 3 red marbles, 7 blue marbles and 5 green marbles. If two marbles are
drawn out of the bag, what is the probability, to the nearest 100oth, that both
marbles drawn will be blue?

what statement does not apply to a debit card

My problem is posted below:

From a horizontal distance of 80m, the angle of elevation to the top of a flagpole is 180. Calculate the height of the flagpole.

eathan ran 11 miles in 2 hours. what is the unit rate of miles to hours

What is the area of the composite figure above in m2 ?

can Someone help me I really don't understand

Solve -2/3x>8 or -2/3x <4

draw a blox plot for this plz ill give ten points and brainlest

Distance between -12 and -15 to -12 and 11

solve this 2(3+8)-5(4+2)​

Find the measure of the indicated arc

PLEASE HELPPPPPPPPPPPPPPPPP

21. If the winning score in golf is the lowest number, what was the lowest score out of the integers: –2, +1, –5, +3, –2, –1, +4, 0, +1? (1 point)
–5
0
1
4
22. What is the sum of –3 and 4? (1 point)
7
–7
–1
1
23. Evaluate the expression –273 – (–576) = (1 point)
–849
303
–303
849
24. Divide:

start fraction negative 56 over 4 end fraction equals

(1 point)
14
–14


25. Evaluate the expression (2 – 19) + (–12) (1 point)
+33
–33
+29
–29
26. Solve: –2x = 22, x = ___ . (1 point)
–11
–44
+11
+20
27. Solve: 5 + 3x = –22, x = ___ . (1 point)
–9
explmathfinal_27
–81
+9
28. Solve: 5(x + 3) = 35, x = ____ . (1 point)
+10
–10
–4
+4
29. Find the median for the set of data.
{7.2, 5.5, 7.1, 8.4, 5.6, 5.1, 9.9} (1 point)
5.5
7.1
8.4
6.97
30. Find first quartile for the set of data.
{80, 45, 32, 64, 22, 63, 45} (1 point)
32
64
50.14
48
31. Find the first quartile for the set of data.
{7.2, 5.5, 7.1, 8.4, 5.6, 5.1, 9.9} (1 point)
5.5
7.1
8.4
6.97
32. Find the maximum for the set of data.
{7.2, 5.5, 7.1, 8.4, 5.6, 5.1, 9.9} (1 point)
5.5
7.1
8.4
9.9
33. The third quartile (rounded to the nearest tenth if needed) of the following data set is: 11, 20, 17, 8, 8, 9, 20, 13, 21. (1 point)
8.5
8
20
14.1
34. If y varies directly with x and y = 2 when x = 15. Find x when y = 8. (1 point)
x = 60
x = 3.75
x = 240
x = 150
35. If y varies inversely with x, find the constant of variation with x = –40 and
y = 4. (1 point)
+10
–10
+160
–160
36. A certain project can be completed by 28 men in 90 days. The numbers of men needed varies inversely to the time needed to complete the project. If the contractor wants to complete the project in 72 days, how many men does he have to have working? (1 point)
30 men
270 men
35 men
28 men
37. The weight of an object on Mars varies directly as its weight on Earth. A person who weighs 95 kg on Earth weighs 38 kg on Mars. How much would a 100 kg person weigh on Mars? (1 point)
36.1 kg
40 kg
38 kg
41 kg
38. The money that a plumber makes varies directly with the number of hours he works. If he makes $125 in 5 hours, how much does he make in 8 hours? (1 point)
$200
$40
$78.12
$150
39. If you roll a red number cube (numbers 1–6), and a green number cube (number 1–6), how many possible combinations can you have? (1 point)
216
18
12
36
40. The multiple-choice part of an assignment has 4 possible choices for each of the 5 questions. How many possible ways can you answer the assignment? (1 point)
9
1,024
40
20
41. How many different squads of 5 players can be picked from 10 basketball players? (1 point)
252
30,240
50
120
42. Determining the number of seating arrangements with 10 people in 7 chairs requires use of ? (1 point)
combinations
permutations
probability
substitution
43. Determining the number of 3-person committees formed from a club with 12 members requires use of ? (1 point)
combinations
permutations
probability
substitution
44. Determining the number 5-card hands that can be drawn from a deck of 52 requires use of ? (1 point)
substitution
permutations
probability
combinations
45. Tyler has 5 shirts, 6 pairs of slacks, and 3 pair of shoes. If every shirt can be worn with any pair of slacks and any pair of shoes, how many outfits does Tyler have? (1 point)
14
33
90
21
46. How many committees of 2 people are possible from a group of 11? (1 point)
165
22
13
55
47. If the bowl contains 5 red marbles, 7 blue marbles, and 8 white marbles, what is the probability that you will draw a red marble when you pick one out? (1 point)
5over20
15 over 20
7 over 20
2over5
48. If the bowl contains 5 red marbles, 7 blue marbles, and 8 white marbles, what is the probability you will draw a red or blue marble? (1 point)
5over20
15 over 20
7 over 20
3over5
49. What is the probability of not rolling a 5 on a die? (1 point)
one-fifth
one-sixth

one-fourth
50. What is the probability of rolling a 7 on a die? (1 point)
one-fifth
one-sixth
0
1

please i need help!