Question

When Tariq was in the parking lot, he noticed his shadow on the ground was 5.5 feet long. Tariq is 6 feet tall. At what angle is the sun above the horizon?

a) 47 degrees
b) 43 degrees
c) 66 degrees
d) 24 degrees

Answer 1

To find the angle at which the sun is above the horizon, we can use trigonometry. Assuming the shadow is formed by a vertical object, such as Tariq, we can find the angle by using the tangent function. The angle is approximately 47 degrees.

Step-by-step explanation:

To find the angle at which the sun is above the horizon, we can use trigonometry. Let's assume the shadow is formed by a vertical object, such as Tariq. Since Tariq's height is 6 feet and his shadow is 5.5 feet long, we have a right triangle, where Tariq's height is the opposite side and the length of the shadow is the adjacent side.

We can use the tangent function to find the angle:

tan(x) = opposite/adjacent = 6/5.5

Using a calculator, we find that x is approximately 47 degrees.