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Sagot :
Answer:
[tex]\sf x = 61.9^{\circ \:}[/tex]
given:
- opposite side = 15
- hypotenuse side = 17
using sine rule:
[tex]\sf sin(x) = \dfrac{opposite}{hypotenuse}[/tex]
[tex]\sf sin(x) = \dfrac{15}{17}[/tex]
[tex]\sf x = sin^{-1}(\dfrac{15}{17} )[/tex]
[tex]\sf x = 61.9^{\circ \:}[/tex]
To find the angle, we must subject ourselves to using trigonometric identities.
We know that in the triangle the ladder forms, we have the side opposite the angle and the hypotenuse.
The trigonometric formula that utilizes the information we have to the maximum is the sine function.
[tex]sin(x) = \frac{15}{17} \\x = 61.9[/tex]degrees
Thus the angle of elevation is 61.9 degrees
Hope that helped!
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