AB is a vertical cliff. C is a point 380m from the cliff. the angle of elevation to the top of the cliff is 58 degrees. calculate the height of the cliff

tan 58 = h/380

To calculate the height of the cliff, we can use trigonometric functions. In this case, we can use the tangent function because we have the opposite side (height of the cliff) and the adjacent side (distance from point C to the cliff) in relation to the angle of elevation.

The tangent function is defined as the ratio of the opposite side to the adjacent side of a right triangle.

Let's denote the height of the cliff as "h". Using the given information, we have:

Opposite side (height of the cliff) = h
Adjacent side (distance from point C to the cliff) = 380m
Angle of elevation = 58 degrees

Using the tangent function:

tan(angle) = opposite/adjacent
tan(58) = h/380

Now, we can solve for "h":

h = tan(58) * 380

Using a calculator, we find:

h ≈ 520.28 meters

Thus, the height of the cliff is approximately 520.28 meters.