Question

What is the height of the building shown down below? Round to the nearest tenth if necessary

Answer 1

We will have the following:

In order to determine the height of the building we will rememer that:

`\sin\lparen\theta)=(opposite)/(Hypotenuse)`

So:

`\sin\mleft(51\mright)=(h)/(100)\Rightarrow h=100\sin\lparen51)`
`\Rightarrow h=77.71459615...\Rightarrow h\approx77.7`

So, the height of the building is approximately 77.7 feet.