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Tanzania [10]
3 years ago
14

The angle of elevation to the top of a 20-story skyscraper is measured to be 2 degrees from a point on the ground 5,280 feet fro

m the building. What is the height of the skyscraper to the nearest hundredth foot?

Mathematics
2 answers:
spin [16.1K]3 years ago
7 0
<span>Height of the skyscraper to the nearest hundredth foot
= 5280 Tan(2)
= </span>184.38
Vlad1618 [11]3 years ago
3 0

Answer:

184.38\ ft

Step-by-step explanation:

we know that

In a right triangle the tangent function of an angle \theta is equal to divide the opposite side to the angle \theta by the adjacent side to the angle \theta

In this problem we have

\theta=2\°

adjacent\ side=5,280\ ft

Let

h-----> the opposite side to the angle \theta (represent the height)

so

tan(2\°)=h/5,280

h=5,280*tan(2\°)=184.38\ ft

see the attached figure to better understand the problem

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Maria, age 28, wants to pay no more than $300 a year in life insurance. what is the face value of the largest 20-year term polic
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The face value of the largest 20-year term policy which Maria can buy without spending more than $300 annually is $158,000.

<h3>What is face value?</h3>

Face is the term used in finance, is used for the amount which has to be paid to the policyholder at the time of maturity.

Maria, age 28, wants to pay no more than $300 a year in life insurance.

The period for this policy is 20-year term.

Annual life insurance premium (per 1,000 dollars of face value) for age 28.

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For the 20 year term for female is 1.89 and annular premium is $300. Thus, the face value is,

\rm Face \; Value=\dfrac{300}{1.89}\times1000\\\rm Face \; Value\approx158000

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