Question

If the sun is 57° above the horizon, find the length of the shadow cast by a building 98 ft tall. Round your answer to the nearest tenth.

a) 84.7 ft
b) 75.6 ft
c) 113.2 ft
d) 68.4 ft

Answer 1

To find the length of the shadow cast by the building, we can use trigonometry. The length of the shadow can be found using the equation x = 98 * tan 57°. Therefore, the length of the shadow is approximately 84.7 ft.

Step-by-step explanation:

To find the length of the shadow cast by the building, we can use trigonometry.

Since the sun is 57° above the horizon, we can consider it as the angle of elevation.

Let x be the length of the shadow. We can set up the following equation:

tan 57° = x / 98

Now, we can solve for x:

x = 98 * tan 57°

Using a calculator, we find that x ≈ 84.7 ft.

Therefore, the length of the shadow cast by the building is approximately 84.7 ft.