A cat climbs onto a roof and looks down at you. You are standing 12 feet away from the house and there is an 18-foot diagonal distance between you and the cat. What is the angle of depression in which the cat is looking down at you? Round to the nearest whole degree.
48°
48°
40°
40°
34°
34°
50°
To find the angle of depression, we need to find the angle between the diagonal distance and the horizontal distance (12 feet).
Using trigonometry, we can use the tangent function to find the angle.
Tangent(angle) = opposite / adjacent
In this case, the opposite side is the height of the roof, which is 12 feet, and the adjacent side is the diagonal distance, which is 18 feet.
So, tangent(angle) = 12 / 18
To find the angle, we can take the inverse tangent of both sides:
angle = arctan(12 / 18)
Using a calculator, we find that the angle is approximately 34°.
Therefore, the correct answer is 34°.