A slide 4.1 meters long makes an angle of 35 with the ground. to the nearest tenth of a meter, how far above the ground is the t
op of the slide?
a. 7.1 m
b. 3.4 m
c. 5.0 m
d. 2.4 m
a. 7.1 m
b. 3.4 m
c. 5.0 m
d. 2.4 m
1 answer:
You might be interested in
Answer:
The angle between [A_F] and the base of the cone = 68.2°
The area of the base of the cone ≈ 12.57 m²
Step-by-step explanation:
The given parameters are;
The height of the cone = 5 m
The base radius of the cone = 2 m
The angle which the AC = 120°
Therefore, we have;
The angle between [A_F] and the base of the cone = The angle between [CF] and the base of the cone
The angle between [CF] and the base of the cone = tan⁻¹(5/2) = tan⁻¹(2.5) ≈ 68.2°
∴ The angle between [A_F] and the base of the cone = The angle between [CF] and the base of the cone = 68.2°
The angle between [A_F] and the base of the cone = 68.2°
The area of the base of the cone = π × r² = π × 2² = 4·π ≈ 12.57
The area of the base of the cone ≈ 12.57 m².