Question

From a boat on the lake, the angle of elevation to the top of a cliff is 23°4'. If the base of the cliff is 1415 feet from the boat, how high is the cliff (to the nearest foot)?

A) 606 ft
B) 603 ft
C) 613 ft
D) 616 ft

Answer 1

The height of the cliff is approximately 606 feet.

Step-by-step explanation:

To find the height of the cliff, we can use trigonometry. Let's call the height of the cliff 'h'. We know that the angle of elevation is 23°4' and the distance from the boat to the base of the cliff is 1415 feet. Using the tangent function, we can set up the following equation: tan(23°4') = h/1415. Solving for 'h', we find that the height of the cliff is approximately 606 feet.