Question

Beyoncé ties a rope 25 feet from the base of her new giant tent. If the angle of elevation of the rope to the top of the tent is 55°, what is the length of the rope?

a) 25 feet
b) 30 feet
c) 35 feet
d) 40 feet

Answer 1

To find the length of the rope, we can use trigonometry. The length of the rope is approximately 40 feet.

Step-by-step explanation:

To find the length of the rope, we can use trigonometry. In this case, we are given the angle of elevation as 55° and the distance from the base of the tent to the rope as 25 feet. We can use the tangent function to find the length of the rope.

Using the formula tangent(angle) = opposite/adjacent, we can set up the equation tan(55°) = opposite/25 feet. Solving for the opposite, we get opposite = 25 feet * tan(55°).

Calculating this value, we find that the length of the rope is approximately 40 feet. Therefore, the correct answer is d) 40 feet.