19. Suppose you see a rock climber on a rock wall at a 32 degree angle of elevation. You are 1000 ft from the base of the rock wall. What is the height from the rock climber to the ground? Round to the nearest tenth.
529,9 ft
624.9 ft
848.0 ft
To find the height from the rock climber to the ground, we can use trigonometry.
We know that the tangent of an angle is equal to the opposite side divided by the adjacent side. In this case, the opposite side is the height from the rock climber to the ground, and the adjacent side is the distance from the observer to the base of the rock wall.
So, we have:
tan(32) = height / 1000
To solve for the height, we can rearrange the equation:
height = tan(32) * 1000
Using a calculator, we find:
height ≈ 624.9 ft
Therefore, the height from the rock climber to the ground is approximately 624.9 ft.