From a distance of 42 feet from the base of a building, the angle of elevation to the top of the building is 67 estimate the height of the building to the nearest foot.
a.
18 feet
c.
39 feet
b.
16 feet
d.
99 feet

Because the problem represents right angle we can use simple geometric functions to determine size of sides of triangle and its angles if needed.

Since we have angle at point that is 42 feets away from base of the building and we need lenght of side that is oposite from that angle that means that we need some trigonometric function that includes those 2 sides.

that function is tangens.
tan67 = oposite side/side next to angle

tan67 = x/42
x = 42*tan67
x = 98.94 feet

Answer is D 99 feet

(1/x + 1)^2 + 6 (1/x + 1) +5