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From her window 5m above the ground, Sherri spots a turtle on the ground at a 34 degree angle of depression. To the nearest tenth of a meter, how far is the turtle from the base of the Sherri's building?
A: 7.4m
B: 4.8m
C: 4.1m
D: 3.4m

Respuesta :

BlueSky06

The solution would be like this for this specific problem:

Given:  5 m

34° angle of depression


(5 m) cot(34°) = 7.4 m

The turtle is 7.4m far from the base of the Sherri’s building.
I hope this helps and if you have any further questions, please don’t hesitate to ask again. 

ashishdwivedilVT

The turtle is at a 7.4128m distance from the base of Sherri's house.

The angle of depression =34°

What is the angle of depression?

The angle of depression is the angle between the horizontal line and the observation of the object from the horizontal line.

Height of window from the ground = 5m

Let us say the turtle is at x distance from the base of Sherri's house.

So, according to the question,

[tex]tan 34 = \frac{5}{x}[/tex]

[tex]x = \frac{5}{tan34}[/tex]

[tex]x =5cot34[/tex]

[tex]x=7.4128m[/tex]

Therefore, the turtle is at a 7.4128m distance from the base of Sherri's house.

To get more about the angle of depression visit:

https://brainly.com/question/10217662

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