Respuesta :

Firstly , we will find

angle of inclination

Let's that angle as 't'

we are given

hypotenuse= 350

opposite =32

so, we can use sin

and find angle

[tex] sin(t)=\frac{32}{350} [/tex]

[tex] t=sin^{-1}(\frac{32}{350}) [/tex]

we will get

[tex] t=5.24 [/tex]

so, angle of depression will also be

[tex] =5.2 [/tex]............Answer

mathstudent55

The angle of depression has the same measure as the acute angle at the lower left of the triangle. This is because the angle of depression and the lower left angle of the triangle are alternate interior angles of parallel lines cut by a transversal.

For the lower left acute angle of the triangle, 32 ft is the opposite leg. 350 ft is the hypotenuse. Since we have the opposite leg and the hypotenuse, we use the sine ratio.

[tex] \sin A = \dfrac{opp}{hyp} [/tex]

[tex] \sin A = \dfrac{32}{350} [/tex]

[tex] A = \sin^{-1} \dfrac{32}{350} [/tex]

[tex] A = 5.2^{\circ} [/tex]

Answer: 5.2 degrees

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