Question

from a point 340 meters from the base of the hoover dam, the angle of elevation to the top of the dam is 33°. find the height of the dam to the nearest meter. 624.27 meters 220.80 meters 523.55 meters 185.18 meters

Explanation:

Step1: Define variables

Let height = \( h \), adjacent side = 340m, angle = 33°.

Step2: Use tangent function

\( \tan(33^\circ) = \frac{h}{340} \)

Step3: Solve for h

\( h = 340 \times \tan(33^\circ) \approx 340 \times 0.6494 = 220.80 \) meters

Answer:

B. 220.80 meters