Question

From a distance of 1217 feet from a spotlight,the angle of elevation to a cloud base is 43 degrees. Find the height of the cloud base to the cloud base to the nearest foot

Answer 1

Answer:

1134.9 ft

Step-by-step explanation:

CHECK THE ATTACHMENT FOR THE FIQURE

From, trigonometry,

Tan(X) = opposite/ adjacent

Distance from the spotlight = 1217 ft, which is the adjacent sides

Let the height of the cloud= X

, Which is the opposite sides

Then substitute, we have

Tan(43°)= X/1217

(0.9325)= X/1217

X= 0.9325×1217

= 1134.9 ft

Hence, the height of the cloud base to the cloud base to the nearest foot is 1134.9 ft