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
120 sin 8 degrees
calculation
workings
not that good
To calculate the vertical distance through which the car rises, we can use trigonometry.
The inclined road can be considered as a right triangle. The hypotenuse of the triangle represents the distance traveled by the car (120 m), the vertical leg represents the vertical distance through which the car rises (what we want to find), and the horizontal leg represents the distance along the ground.
In this case, the angle of inclination (θ) is given as 8°.
Using trigonometry, we can use the sine function to relate the angle, the hypotenuse, and the vertical leg:
sin(θ) = Opposite/Hypotenuse
In this case, the vertical distance is the opposite side, and the hypotenuse is the distance traveled by the car (120 m).
So, we can rearrange the equation to solve for the vertical distance:
Vertical distance = Hypotenuse × sin(θ)
Substituting the given values:
Vertical distance = 120 m × sin(8°)
Using a calculator, we can find the sine of 8° (approximately 0.139).
Vertical distance ≈ 120 m × 0.139
Vertical distance ≈ 16.68 m
Therefore, the vertical distance through which the car rises is approximately 16.68 meters.