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lys-0071 [83]
3 years ago
15

A soccer player is 30 feet from the goal line. He shoots the ball directly at the goal.

Mathematics
1 answer:
nevsk [136]3 years ago
7 0

Answer:

14.93°

Step-by-step explanation:

Using trigonometry :

From the diagram attached :

Angle of elevation = x

To obtain the value of x

Tan x = opposite / Adjacent

Tan x = 8 / 30

Tan x = 0.266666

x = tan^-1(0.26666)

x = 14.93°

Therefore, the angle of elevation is 14.93°

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\huge\bold{To\:find :}

The value of x°.

\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}

The value of x° is 150°. ✅

\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}

We know that,

\sf\purple{Sum\:of\:angles\:on\:a\:straight\:line\:= \:180°}

➡ 81° + y° = 180°

➡ y° = 180° -81°

➡ y° = 99°

Since an exterior angle of a triangle is equal to the sum of the two opposite interior angles, we have

x° = y° + 51°

Substituting the value of ''y°" in the above equation,

➪ x° = 99° + 51°

➪ x° = 150°

\sf\red{Therefore, \:the\: value \:of \:x°\: is \:150°.}

<u>Note</u>:-

Kindly refer to the attached file.

{\boxed{\mathcal{\blue{Happy\:learning .}}}}

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