From the observation deck of a lighthouse 70 meters above sea level, the lighthouse keeper can see a fishing boat at a 25 degree angle of depression.What is the horizontal distance, to the nearest meter, from thebase of the lighthouse to the fishing boat?

Answers

Answer 1

Answer:

150.12

Step-by-step explanation:

From the observation deck of a lighthouse 70 meters above sea level, the lighthouse keeper can see a fishing boat at a 25 degree angle of depression.What is the horizontal distance, to the nearest meter, from the base of the lighthouse to the fishing boat?

We solve the above question using the Trigonometric function of tan

tan y = Opposite /Adjacent

y = 25°

Opposite = 70m

Adjacent = x = Horizontal distance

Therefore:

tan 25 = 70m/x

tan 25 × x = 70m

x = 70m/tan 25

x = 150.11548444m

Approximately = 150.12m

The horizontal distance, to the nearest meter, from the base of the lighthouse to the fishing boat is 150.12m

Related Questions

Choose Yes or No to tell if the fraction 13 will make each equation true. 58+□=2324 No 512+□=34 Choose... 1318−□=45 Choose... 815−□=15 No

Answers

Answer:

Yes

Step-by-step explanation:

Check if 1/3 will make the equations TRUE.

5/8 + 1/3

(15 + 8) / 24 = 23 /24

5/12 + 1/3

(5 + 4) / 12 = 9/12 = 3/4

13/18 - 1/3

(13 - 6) / 18

7 / 18

8/15 - 1/3

(8 - 5) / 15

3/15 = 1/5

Find the volume of the cone.
13 cm
n = 9 cm

Answers

V = 350π cm3..................

Answer:

V = 1102.7 cm^3

Step-by-step explanation:

1. Volume of Cone Formula

[tex]V=\frac{1}{3}*h*\pi *r^{2}[/tex]

2. Variables: h = 13 cm r = 9 cm

3. Plug in numbers

[tex]V=\frac{1}{3}*13*\pi *9^{2}[/tex]

V ≈ 1102.69 cm^3

Christina Fox took out a simple interest loan at 5 percent for 12 months. Her previous balance is $200. What is the interest for the next payment?

a. $0.83
b. $0.99
c. $0.59
d. $1.37

Answers

Answer:

a. $0.83

Step-by-step explanation:

Calculation for the interest for the next payment

Using this formula

Next payment Interest=Previous balance*Simple interest loan percentage/Numbers of months

Let plug in the formula

Next payment Interest=$200*0.05/12

Next payment Interest=0.83

Therefore the interest for the next payment will be 0.83

Answer:

the answer is "A. $0.83........

Graph the inequality on a number line z<1 1/4

Answers

Answer:

Step-by-step explanation:

The inequality can be seen graphed in the number line that I have created in the attached picture below. As you can see the open circle represents the value 1 1/4 and is an open circle because it is not included in the inequality. This is because the variable z is less than but NOT equal to 1 1/4. Also since z is any number less than 1 1/4 then the number line goes towards negative infinity.

Simplify each expression

(-0.75x + 6) - (2.5x - 1.9)

Answers

This is the answer to your problem

13 points for this I just need help it’s very important I don’t wanna fail

Answers

Pretty sure it’s a function because the x values don’t repeat

tell me a FUNEI i need a laguf pls and thx

Answers

hi this is my BFF can u tell him to have a nice day thx

find the missing values

Answers

Answer:

20 and 90

Step-by-step explanation:

Hey! This isn't really a qeustion you have to use ur brain for its just ur opinon, should our class do this or not?

Answers

because St. Patrick’s Day is not usually celebrated and it’s always fun to share with other people.

I need help ASAP! The picture is provided

Answers

Answer:

Step-by-step explanation:

if you you have x2 and 10 subtract

x2-10 this is because 2 x 5 is 10

very sorry if wrong

Answer:

b. x²-10

Step-by-step explanation:

Area of the whole square: x² because x*x = x²

area of unshaded area: 5*2 = 10

so shaded area: area of whole square - area of unshaded area

x² - 10

solve for x
Sin(42)=cos(2x+36)

Answers

Solve for x
Answer
X=3

If x = -5 and y = 2x”, then y =

Answers

Hope that helps!

Answer:

8 visits

Step-by-step explanation:

Order the following values from least to greatest.

Answers

would be -91,-24,12,50.8

Answer:

-34, 12, 50.8, -91

Step-by-step explanation:

| | these sticks are absolute value

hope this helps

On Monday, it snowed 40 inches in 10 hours. On Thursday, it snowed 21 inches in 7 hours. On which day did it snow at a greater rate each hour?

Answers

Answer:

On Monday

Step-by-step explanation:

40÷10=4

21÷7=3

So per hr 4 is bigger, so on Monday

Pls help me do this

Answers

Answer:

Should be SY and ZY or ST and ZX

Combine like terms. Add the constants together and add the terms with the variable r together. In order to add fractions, keep the common denominator and add only the numerators together. Then, simplify, and divide the numerator by the denominator if the result is a whole number.

This gives the following answer:

[tex]\frac{1}{3} r+\frac{1}{4} +\frac{2}{3} r+\frac{3}{4} \\=\frac{1}{3} r+\frac{2}{3} r+\frac{1}{4} +\frac{3}{4}\\=\frac{3}{3} r+\frac{4}{4} \\=r+1[/tex]

What is the volume of the rectangular prism below?

Answers

Answer:

9 x 5 x 3= 135 m ³

Step-by-step explanation:

Answer:

135 m ³

Step-by-step explanation:

In a company's first year in operation, it made an annual profit of
$
236
,
000
$236,000. The profit of the company increased at a constant 20% per year each year. How much total profit would the company make over the course of its first 19 years of operation, to the nearest whole number?

Answers

Answer:

89,680,000

Step-by-step explanation:

236,000×20=4,720,000×19=89,680,000

Answer:36518640

Step-by-step explanation:

HELP SHOW WORK PLEASE

Answers

Answer:

about 23.0979

Step-by-step explanation:

tan 57 = n/15

multiply 15 on both sides ---> 15(tan 57) = n/15 (15)

n is about 23.0979

60 POINTS!! PLS BRAINLY PLEASE DONT ANSWER IF YOU DONT KNOW ITS TIMED :(( THANKS!! :)

Answers

Answer:

well i would asome u know about earth qaks but

theyb happen when 2 techtonic plat hit each other. when that haopends they can make a mouten and the moutian keep growing and gowing.that is some of the main thanges about earth qacks. but that only happened when earthe qacks happen basically what they do is they shake the ground makeing the plates move and hit each other. wich then makes the moutinen and hills too its the same thage all over again

Step-by-step explanation:

sorry for all the bad spelling im typeing fasttt

mark me branly plesasesss

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