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HeyI need help with this, having trouble solvingIt is from my ACT prep guide

HeyI need help with this, having trouble solvingIt is from my ACT prep guide-example-1
User Alexantd
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We will determine the height of the building as follows:

First, we determine the height above her window, that is:


\tan (56)=(h_u)/(150ft)\Rightarrow h_u=(150ft)\tan (56)
\Rightarrow h_u=222.3841453\ldots ft

Now, we calculate the height below her window:


\tan (32)=(h_l)/(150ft)\Rightarrow h_l=(150ft)\tan (32)
\Rightarrow h_l=93.73040279\ldots ft

Then, we will have that:


h_T=h_l+h_l\Rightarrow h_T=150(\tan (56)+\tan (32))
\Rightarrow h_T=316.1145581\ldots ft\Rightarrow h_T\approx316.1ft

So, the height of the building is approximately 316.1 ft tall.

User Razib
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