A skateboard ramp is 3.5 feet high and 6 feet long along the horizontal. To the nearest degree, what is the measure of the angle that the ramp makes with a horizontal line?

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bamboola1 bamboola1 · Answer 1 · 2020-03-26T13:40:00+01:00

Answer:

As this is triangular height and floor length we multiply and divide by 2 (representing halving the square)

= 3.5 x 6= 19 19/2 = 9.5ft

To thereafter measure the angle we can see 9.5/3.5 =2.711

so we have 90, 27 and 63 degree.

As this is decimal we round up to 30 degree. and round down to 60 degree.

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RajarshiG RajarshiG · Answer 2 · 2022-05-18T14:28:58+02:00

The ramp makes an angle of 30.26° with the horizontal line.

What is the tangent of an angle in a right-angle triangle?

The tangent of an angle in a right-angle triangle is the ratio of it's height to it's base.

Given,

The height of the skateboard ramp = 3.5 feet and the length is = 6 feet.

Let, the angle that the ramp makes with a horizontal line is Ф.

Therefore, the angle that the ramp makes with a horizontal line is

= tan Ф = height / base length = 3.5/6 = 0.583

Hence, Ф = tan⁻¹(0.583) = 30.26°

Learn more about the tangent of an angle here: https://brainly.com/question/23185930

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