A mouse spots an owl flying 10.1 feet over a nearby bush. The mouse is 30 feet away from the bush, and it sees the owl at a certain angle of elevation. Which trigonometric equation can be used to solve for x, the angle of elevation from the mouse to the owl?

Respuesta :

Answer:

Explanation:

Given

fly is at height of [tex]h=10.1\ ft[/tex]

mouse is at a distance of 30 ft from bush

if [tex]\theta [/tex]  is the angle of elevation then

using trigonometric relation

[tex]\tan \theta =\frac{h}{x}[/tex]

[tex]\tan \theta =\frac{10.1}{30}[/tex]

[tex]\theta =tan^{-1}(\frac{10.1}{30})[/tex]

[tex]\theta =18.57^{\circ}[/tex]

           

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