Answered

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A ramp has an angle of inclination of 20 degrees. it has a vertical height of 1.8 m. what is the length, l metres, of the ramp?

Sagot :

Answer:

x = 5.26 m

Step-by-step explanation:

Given that,

The angle of inclination = 20°

The vertical height of the ramp, h = 1.8 m

We need to find the length of the ramp. Let it is x.

We can find it using trigonometry. So,

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

We have,

P = 1.8 m, H = x

[tex]\sin20=\dfrac{1.8}{x}\\\\x=\dfrac{1.8}{\sin20}\\\\x=5.26\ m[/tex]

So, the length of the ramp is 5.26 m.

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