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Your school is organizing a carnival. You are building a ramp for a game. The surface of the ramp will be 7 feet long with a total rise of 2 feet. Find the angle of elevation of the ramp.

Respuesta :

Answer:

[tex]\theta=16.6^{\circ}[/tex]

Step-by-step explanation:

Given that,

The surface of the ramp will be 7 feet long with a total rise of 2 feet.

We need to find the angle of elevation of the ramp. We can use trigonometry to find it such that,

[tex]\sin\theta=\dfrac{P}{H}[/tex]

P is perpendicular

H is hypotenuse

Here, P = 2 feet, H = 7 feet

So,

[tex]\sin\theta=\dfrac{2}{7}\\\\\theta=16.6^{\circ}[/tex]

So, the angle of elevation of the ramp is equal to [tex]16.6^{\circ}[/tex].

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