Question

A man is standing near the Washington Monument. At a 60° angle of elevation from the ground, the man sees the top of the 555-foot monument. Which measurements are accurate based on the scenario? Check all that apply. The distance from the man’s feet to the base of the monument is feet. The distance from the man’s feet to the top of the monument is feet. The distance from the man’s feet to the top of the monument is 1,110 feet. The distance from the man’s feet to the base of the monument is 277.5 feet. The segment representing the monument’s height is the longest segment in the triangle.

Answer 1

To find the accurate measurements, we can use trigonometry and the given angle of elevation. The distance from the man's feet to the base of the monument is approximately 320.51 feet.

Step-by-step explanation:

To solve this problem, we can use trigonometry. Let's consider the height of the monument as the opposite side of the angle and the distance from the man's feet to the base of the monument as the adjacent side. We can use the tangent function to find the height. The tangent of an angle is equal to the opposite side divided by the adjacent side. So, we have:

tan(60°) = height / distance_to_base

tan(60°) = 555 / distance_to_base

Now, we can solve for the distance_to_base:

distance_to_base = 555 / tan(60°)

Using a calculator, we find that the distance_to_base is approximately 320.51 feet. Therefore, the statement 'The distance from the man’s feet to the base of the monument is 320.51 feet' is accurate. However, none of the other statements are correct based on the given scenario.

Answer 2

The correct answers are the first two options