Question

wire
tower
60°
120 ft
exact values of common trigonometric functions
sin 30° = 1/2 sin 45° = √2/2 sin 60° = √3/2
cos 30° = √3/2 cos 45° = √2/2 cos 60° = 1/2
120√2 ft 120√3 ft 240 ft 120 ft

Explanation:

Step1: Identify the trigonometric ratio

The tower is opposite the 60° angle, and the adjacent side is 120 ft. Use $\tan\theta = \frac{\text{opposite}}{\text{adjacent}}$.

Step2: Calculate tower height

$\tan60^\circ = \sqrt{3}$, so height = $120 \times \tan60^\circ = 120\sqrt{3}$.

Answer:

120√3 ft