Question

A flagpole casts a 17-foot shadow on the ground when the sun is at a 59° angle of elevation. which of the following expressions can be used to determine the height (h), in feet, of the flagpole? (assume the flagpole is perpendicular to the ground.)

a. co59° = h 17
b. 59° = h 17
c. 59° = h 17
d. co59°= h 17

Answer 1

The height of the flagpole can be determined using the tangent of the angle of elevation and the length of the shadow.

Step-by-step explanation:

To determine the height of the flagpole, we can use the tangent of the angle of elevation. The tangent is the opposite side (the height of the flagpole, h) divided by the adjacent side (the length of the shadow, 17 feet). Therefore, the expression that can be used to determine the height of the flagpole is tan(59°) = h/17.