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 0.77. applying arccosine, we find that the angle the tent pole makes with the sides of the tent is
options: 49.5, 39.6, 67.7
°.
(there is an image of a cone with height 20 ft, slant height 26 ft, and a right angle between the height and the radius of the base.)

Explanation:

Step1: Identify adjacent and hypotenuse

Adjacent = central pole = 20 ft, Hypotenuse = slant height = 26 ft

Step2: Calculate cosine ratio

$\cos(\theta) = \frac{20}{26} \approx 0.77$

Step3: Find angle using arccosine

$\theta = \arccos(0.77) \approx 39.6^\circ$

Answer:

40 (approximate value, closest to 39.6)