Question

1. the body of a dump truck rests on a frame. the body is raised to empty a load of sand. how far from the frame is the front of the 14-foot-long body when it is tipped upward by a 60° angle?

i dont understand yet. 2 i can do it with help. 3 i can do it on my own.
right triangles and trigonometry

Explanation:

Step1: Identify adjacent side, angle

We need the horizontal distance (adjacent side) of a right triangle with hypotenuse = 14 ft, angle = $60^\circ$. Use cosine: $\cos\theta = \frac{\text{adjacent}}{\text{hypotenuse}}$

Step2: Rearrange to solve for distance

$\text{Distance} = \text{hypotenuse} \times \cos\theta$
Substitute values: $\text{Distance} = 14 \times \cos(60^\circ)$
Since $\cos(60^\circ) = 0.5$, calculate: $14 \times 0.5 = 7$

Answer:

7 feet