Question

The length of the slope of a mountain is 2650 m, and it makes an angle of 12.0° with the horizontal. what is the height of the mountain (in m), relative to its base

Answer 1

The height of the mountain can be found using trigonometry. The height is approximately 578.32 meters.

Step-by-step explanation:

The height of the mountain can be found using trigonometry. The given information includes the length of the slope and the angle it makes with the horizontal. We can use the tangent function to find the height:

tan(angle) = height / length

Substituting the given values, we have:

tan(12.0°) = height / 2650

Solving for the height, we get:

height = tan(12.0°) * 2650

Using a calculator, we find that the height of the mountain is approximately 578.32 meters.