A 36 foot slide leaning against the bottom of a building's window makes a 52° angle with the building. The angle formed with the building with the line of sight from the top of the window to the point on the ground where the slide ends is 39°. How tall is the window? Round to the nearest integer.
A) 46 feet
B) 13 feet
C) 127 feet
D) no solution

Question

Quizplus · Accepted Answer

To find the height of the window, we can use trigonometry. The slide forms a right triangle with the building. The angle between the slide and the building is 52°, so the angle between the slide and the ground is 90° - 52° = 38°. The angle of sight from the top of the window to the ground is 39°, which means the angle between the slide and the line of sight is 39° - 38° = 1°. Using the sine rule in the triangle formed by the slide, the building, and the line of sight, we can find the height of the window: height = 36 * sin(1°) / sin(39°). This gives approximately 13 feet.

A 36 Foot Slide Leaning Against the Bottom of a Building's