- #1
xyz_1965
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Buildings A and B are across the street from each other, 35m apart. From a point on the roof of Building A, the angle of elevation to the top of Building B is 24°, and the angle of depression of the base of Building B is 34°. How tall is each building?
Let x = height of building A.
tan(34°) = x/35
tan(34°)(35) = x
23.61 m = x
I will round off to the nearest ones to get 24 m = x.
Let y = height of building B.
tan(24°) = y/35
tan(24°)(35) = y
15.6 = y
I will round to the nearest ones to get 16 m = y.
Building A is 24 meters tall.
Building B is (24 + 16) or 40 m.
Is any of this right? I have a few more questions to post throughout the day. Thank you.
Let x = height of building A.
tan(34°) = x/35
tan(34°)(35) = x
23.61 m = x
I will round off to the nearest ones to get 24 m = x.
Let y = height of building B.
tan(24°) = y/35
tan(24°)(35) = y
15.6 = y
I will round to the nearest ones to get 16 m = y.
Building A is 24 meters tall.
Building B is (24 + 16) or 40 m.
Is any of this right? I have a few more questions to post throughout the day. Thank you.