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.
First, we can set up a right triangle with the height (opposite side) as the unknown, the distance from the base of the rock wall to the rock climber as the adjacent side, and the angle of elevation as 32 degrees.
Next, we can use the tangent function to find the height:
tan(32 degrees) = height / 1000 ft
height = 1000 ft * tan(32 degrees)
height ≈ 624.9 ft
Therefore, the height from the rock climber to the ground is approximately 624.9 ft.
The answer is 624.9 ft.