Question

Find x.
Round to the nearest tenth:
28°
350 ft
y
x = [ ? ]ft

Answer 1

745.5 ft

Explanation:

Reference angle (θ) = angle of depression = angle of elevation = 28° (alternate angles are congruent)

Opposite side = 350 ft

Hypotenuse = x

Apply the trigonometric function, SOH:

Sin θ = Opp/Hyp

Sin 28° = 350/x

x = 350/Sin 28

x = 745.5 ft (nearest tenth)