Problema Solution
The sun on a building casts a shadow that is 30 feet long, creating an angle of elevation of 63 degrees. How tall is the building?
Answer provided by our tutors
let
l = 30 ft the length of the shadow
angle A = 63 degrees the angle of elevation
h = the height of the building
make a drawing: right triangle with leg equal to l = 30 ft, angle between l and the hypotenuse equal to angle A = 63 and other leg equal to h
tan 63 = h/30
h = 30*(tan (63))
by solving we find
h = 58.88 ft
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the building is 58.88 feet tall.