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From her window, Sandra looks up to the top of a neighboring building at an angle of 36°. Her angle of depression to the bottom of the building is 22°.

The neighboring building is 200 feet away from the building Sandra is in.

How tall is the neighboring building?

 Jan 17, 2020
 #1
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First let's find out how high up Sandra is

 

Tan 22 = .404

.404 = opp/adj = h1/200

h1 =  .404 (200) = 80.8 ft

 

Now we'll calculate how  high the building is ABOVE Sandra

Tan 36 = .7265

.7265 = opp/adj = h2/200

h2   = .7265 (200) = 145.3 ft

 

Add the tw h's together to get neighboring building height....

 Jan 17, 2020

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