## The angle of elevation of a building 80 m high from a man on the ground is 50.41 degrees. How far is the man from the building?

Question: The angle of elevation of a building 80 m high from a man on the ground is 50.41 degrees. How far is the man from the building?

Solution:

This is a very simple trigonometry question. The ground, the building, and the angle of elevation represent a right angle triangle with an angle α of 50.41° between the hypotenuse(The line of sight from the man’s eye to the top of the building) and the ground. The tangent of this angle is the opposite which is the building elevation of 80m divided by the adjacent which is the unknown horizontal distance between the man and the building. This distance denoted by X is what we are looking to determine.

In math form, we have the equation tanα = 80 m / X and X (tanα) = 80m divide by tanα

X = 80m / tanα = 80m / tan 50.41° = 66.2 m

## How long did fighting between Jamestown settlers and the Powhatan trouble last during the 1600s

How long did fighting between Jamestown settlers and the Powhatan trouble last during the 1600s

## The different parts of common type of research paper are listed below arrange the following phrases according to thier order

the different parts of common type of research paper are listed below arrange the following phrases according to thier order of development. number items a to 1 to 12 .(12 point each)​

## Ario #3: Isaiah Isaiah is in his 50s and currently does not have a retirement fund. However, he recently read a

Ario #3: Isaiah

Isaiah is in his 50s and currently does not have a retirement fund. However, he recently read a few articles about the insufficient savings of people in retirement and, as a result, he decides he wants to start now. He saves \$500 per month for 15 years and earns 7% by investing in the stock market* through an index fund.
9. What is the total balance in the account after 15 years?

## Koji is 25 years old and an only child. He attends a local university for computer science. He lives with

Koji is 25 years old and an only child. He attends a local university for computer science. He lives with his mother, father, and grandparents who are over 100 years old. They recently celebrated their 75th wedding anniversary. Which stage of the Demographic Transition Model do you think the person is living in? Explain why you chose this stage in 2-3 sentences.

## What new drugs came from the Americas and what was their importance in the Columbian Exchange

What new drugs came from the Americas and what was their importance in the Columbian Exchange

## 4. Barrie writes that Nana ‘had belonged to no one in particular until the Darlings engaged her. She had always thought

4. Barrie writes that Nana ‘had belonged to no one in particular until the Darlings engaged her. She

had always thought children important, however, and the Darlings had become acquainted with
her in Kensington Gardens.’ How do the words ‘engaged’ and ‘acquainted to make Nana
seem a more appropriate nanny?

## CHEMISTRY A chemistry teacher needs to mix an acid solution for an experiment. How much hydrochloric acid needs to be

CHEMISTRY A chemistry teacher needs to mix an acid solution for an experiment. How much hydrochloric acid needs to be mixed

with 1500 milliliters of water to make a solution that is 12% acid?

## What do u think will happen to the rate of photosynthesis if there is more available light

What do u think will happen to the rate of photosynthesis if there is more available light

## Suppose X∼N(16.5,0.5), and x=16. Find and interpret the z-score of the standardized normal random variable. Provide your below: The z score

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