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vazorg [7]
2 years ago
11

A boat is heading towards a lighthouse, whose beacon-light is 136 feet above the

Mathematics
1 answer:
alexandr1967 [171]2 years ago
5 0

The distance between the points A to B is 899.9 feet. After rounding off the  nearest integer we get 900 feet as the final answer.

Given we know that CD is perpendicular to AD.

The distance between CD is 139 feet.

As from points A the boat's crew measure the angle of elevation to the beacon as 6°

therefore, m∠A = 6°

Another time the angle of elevation is measured from point B which is 19°.

therefore, m∠DBC = 19°

tan 19° = CD/BD

BD = CD/tan19°

BD = 136/tan 19°

now for tan 6° = CD/AD (tangent is opposite over adjacent)

AD = CD/tan 6°

AD = 136/tan 6°

AB = AD ₋ BD

AB = 136/tan 6° ₋ 136/tan 19°

AB = 1295.2 ₋ 395.3

AB = 900 feet

hence the distance from point A to B is 900 feet.

Learn more about Heights and distances here:

brainly.com/question/2004882

#SPJ9

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1377/8 in simplest form<br><br> Thank you!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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To convert a fraction to simplest form we need to find the greatest common factor. 

The fraction can not be simplified because it is already in simplest form but we can change it to a mixed fraction. 

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<span>1) Set up the long division.
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<span>2) Calculate 13 ÷ 8, which is 1 with a remainder of 5.
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3) Bring down 7, so that 57 is large enough to be divided by 8.

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3 years ago
The formula for finding the volume of a cone is V=
Alex_Xolod [135]

Answer:

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Step-by-step explanation:

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base area = radius^2 x pi = 5^2 x pi = 25 x pi = 78,539816 cm^2

2) find the volume

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