Question

Xavier is looking up at a building that is 123 meters away from him, at an angle of elevation of 52°
. What is the building’s height above Xavier’s eye level, x, and the distance between Xavier and the top of the building, y? (1 point)
Responses

x=157.43 m
and y=199.79 m

x equals 157.43 m and y equals 199.79 m

x=199.79 m
and y=157.43 m

x equals 199.79 m and y equals 157.43 m

x=157.43 m
and y=98.26 m

x equals 157.43 m and y is equal to 98 point 2 6 m

x=96.1 m
and y=156.09 m

Answer 1

Use trigonometry with the horizontal distance 123 m and angle 52°:

x = 123·tan(52°) ≈ 123(1.2799416) ≈ 157.43 m
y = 123 / cos(52°) ≈ 123 / 0.6156615 ≈ 199.79 m

So x = 157.43 m and y = 199.79 m.