Problema Solution
A person standing 30 ft from a flag pole can see the top of the pole at a 35 degree angle of elevation from a point on the ground. Find the height of the flag pole to the nearest foot.
Answer provided by our tutors
let
d = 30 ft the distance from the person to the flag pole
angle A = 35 degrees angle of elevation from a point on the ground
h = the height of the flag pole
make a good drawing and notice the right triangle with one leg equal to d and angle A at the point there the person is standing
tan (angle A) = h/d multiply both sides by d
h = d* tan (angle A)
h = 30*tan(35)
h = 21 ft
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the flag pole is 21 feet high.