Final answer:
To find the height of the cliff, we can use the trigonometric relationship between the angle of elevation and the height.
Step-by-step explanation:
To find the height of the cliff, we can use the trigonometric relationship between the angle of elevation and the height. First, we need to convert the angle from degrees to radians by multiplying it by pi/180. Then, we can use the tangent function to find the height. The tangent of the angle of elevation is equal to the height divided by the distance from the cliff. Rearranging the formula, we have:
Height = Distance * tan(Angle of Elevation)
Plugging in the given values, we have:
Height = 75 ft * tan(73.8°)
Calculating this value, we find that the height of the cliff is approximately 238 feet.