Answered

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5. A girl 1.2 m in height is 25 m away from a tower 18 m high. What value is the angle of elevation of the top of the tower from her eyes?

Sagot :

5. A girl 1.2 m in height is 25 m away from a tower 18 m high. What value is the angle of elevation of the top of the tower from her eyes?

ChatGPT

To find the angle of elevation, you can use the tangent function:

tan

⁡

(

�

)

=

opposite

adjacent

tan(θ)=

adjacent

opposite

In this case, the opposite side is the height of the tower (18 m) and the adjacent side is the distance from the girl to the tower (25 m). So,

tan

⁡

(

�

)

=

18

25

tan(θ)=

25

18

Now, you can find the angle:

�

=

arctan

⁡

(

18

25

)

θ=arctan(

25

18

)

�

≈

35.5

4

∘

θ≈35.54

∘

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