Question

Donna is standing 123 feet from the base of a flagpole. She uses a smartphone app to measure the angle of elevation from eye-level to the top of the pole, and she finds the angle to be 26º. If her eyes are 5.3 feet above the ground, find the total height of the flagpole.

Answer 1

To find the total height of the flagpole, use trigonometry to calculate the height from Donna's eye level to the top of the pole, and then add Donna's eye level height to get the total height.

Step-by-step explanation:

To find the total height of the flagpole, we can use trigonometry. We have the distance from Donna to the base of the flagpole (123 feet) and the angle of elevation from her eye level to the top of the pole (26º). First, we need to find the height from Donna's eye level to the top of the pole. We can use the tangent function to calculate this: tan(26º) = height / 123 feet. Solving for height, we get height = tan(26º) * 123 feet = 54.94 feet.

Next, we need to add Donna's eye level height (5.3 feet) to get the total height of the flagpole. Therefore, the total height of the flagpole is 54.94 + 5.3 = 60.24 feet.