Geometry

Question Analysis

This question involves Elevation and Depression Angles. The main focus is on applying trigonometric concepts to determine the angle between a ladder (hypotenuse) and the ground, using the known lengths of the sides of the right - triangle formed by the ladder, the wall, and the ground.

Key Concept Explanation

We utilize the sine function in a right - triangle. The sine of an angle in a right - triangle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse.

Step - by - Step Solution

Let the angle that the ladder makes with the ground be . The length of the ladder (hypotenuse)  meters and the height on the wall where the top of the ladder reaches (opposite side)  meters.

We know that .

Substituting the given values,