Question

select the correct answer from each drop-down menu.
a conical circus tent has a 20 ft central pole that supports it. the slant height of the tent is 26 ft long. explain how to find the angle the tent pole makes with the sides of the tent.
the central pole forms a right triangle with the floor of the tent. the cosine of the missing angle is the ratio of the length of the central pole to the length of the side of the tent, which is drop - down menu with options 0.65, 1.30, 0.77, 0.38. applying drop - down menu, we find that the angle the tent pole makes with the sides of the tent is drop - down menu °.
(there is an image of a cone with slant height 26 ft, central pole 20 ft, and a right angle between the central pole and the floor radius, also has reset and next buttons)

Explanation:

Step1: Identify ratio for cosine

The central pole (adjacent side = 20 ft) and slant height (hypotenuse = 26 ft) give $\cos(\theta)=\frac{20}{26}\approx0.77$.

Step2: Apply inverse cosine

Calculate $\theta=\arccos(0.77)\approx40^\circ$.

Answer:

The ratio is 0.77; applying arccosine; the angle is approximately 40°