Question

From a hot air balloon, the angles of depression to each end of the lake are 68 degrees and 32 degrees. What is the total angle of depression?

A) 90 degrees
B) 100 degrees
C) 110 degrees
D) 120 degrees

Answer 1

The total angle of depression to each end of the lake from a hot air balloon, given as 68 degrees and 32 degrees, is calculated by adding the two angles to get a total of 100 degrees.

Step-by-step explanation:

The total angle of depression from a hot air balloon to each end of the lake is calculated by adding the two angles of depression. If one angle of depression is 68 degrees and the other is 32 degrees, the total angle of depression is the sum of these two angles.

To find the total angle of depression, we simply add the two given angles:

• Angle of depression to one end of the lake = 68 degrees
• Angle of depression to the other end of the lake = 32 degrees

Therefore, the total angle of depression is:

68 degrees + 32 degrees = 100 degrees.

The correct answer is B) 100 degrees.