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omeli [17]
2 years ago
7

A mother gazes out a second-floor window at her son playing at the playground. If the mother's eye level is 12.6 meters off of l

evel ground and the playground is 20 meters from the base of the building, what is the angle of depression from the mother's line of sight to the playground?
Mathematics
1 answer:
ddd [48]2 years ago
4 0
The  arrangement of mother's eye level, ground level and playground forms a right angles triangle.
The legs of this triangle are 12.6 m (eye level to ground) and 20 m (building to playground).

Using trigonometry and assuming the depression angle is Ф;
tan Ф = 20/12.6 = 1.5873
Ф = tan ^-1(1.5873) = 57.78°
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