A car travels 120m along a straight road that is inclined at 8° to the horizontal. Calculate the vertical distance through which the car rises. (Sin 8°= 0.1392)

Respuesta :

Answer:

16.704m

Step-by-step explanation:

To solve the above question, we are going to use the Trigonometric function of Sine.

sin θ = Opposite side/Hypotenuse

Where are given θ = 8°

Sin 8° = 0.1392

In the question, we are told that ,

A car travels 120m along a straight road that is inclined at 8° to the horizontal, hence,

Hypotenuse = 120m

We are asked to calculate the vertical distance through which the car rises hence,

Opposite side = vertical distance.

Therefore,

Sin 8° = Opposite/ 120m

Opposite = Sin 8° × 120m

Opposite = 0.1392 × 120m

Opposite = 16.704m

Therefore, the vertical distance through which the car rises is 16.704m

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