Geometry

Question Analysis

This question is about elevation and depression angles. The main focus is using the vertical distance (200 feet, the height of the helicopter above the ground, which is the opposite side in a right - triangle) and the horizontal distance (150 feet, between the helicopter and the building, the adjacent side) to find the angle of elevation.

Key Concept Explanation:

In a right - triangle, for the angle of elevation , the tangent function is . Given the lengths of these two sides, we can calculate the angle.

Step - by - Step Solution

1. Let the angle of elevation be .

The opposite side  feet and the adjacent side  feet.

Use the formula . Substitute  and , so .

To find