Question 1068701

From the balcony 21 m up in building A, a person looks up at the top of a taller building across the street. The angle of elevation to the top of the building is 46 degrees from the balcony. The angle of depression to the base of the building across the street is 51 degrees. What is the height of the taller building across the street?
<pre>Use {{{tan (51) = 21/D}}} to find the horizontal distance (D) between the 2 buildings
Use the value of D to find the vertical distance (H) from the balcony to the top of the taller building. This would be: {{{tan (46) = H/D}}}.
This vertical distance (H), added to 21 m will give you the height of the taller building. 

It’s best to sketch a diagram. You’ll see it a lot better then.