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almond37 [142]
3 years ago
7

7.) A man is in a boat that is floating 175 feet from the base of a

Mathematics
1 answer:
Delvig [45]3 years ago
5 0

Answer:

The angle of depression between the cliff  and the boat is 48.8141^\circ

Step-by-step explanation:

Given:

Base width  of the cliff=175 foot

Height of the cliff= 200 foot= 200 foot

To Find:

The angle of depression between the cliff  and the boat=?​

Solution:

Angle of Depression

The angle below horizontal that an observer must look to see an object that is lower than the observer.The angle of depression is congruent to the angle of elevation  

tan( y )= \frac{opposite}{adjacent}

Substituting the values,

tan( y )= \frac{200}{175}

tan( y )= 1.14

y= tan^{-1}(1.14)

y=48.8141^\circ

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