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The diagram represents the slide as the hypotenuse of a right triangle. The slide is labeled 4.1 meters. The vertical height is labeled x. The angle adjacent to the horizontal leg and hypotenuse is 35 degrees.
A slide 4.1 meters long makes an angle of 35° with the ground. To the nearest tenth of a meter, how far above the ground is the top of the slide?
To find the vertical height (x), we can use trigonometry. Since we know the length of the hypotenuse (4.1 meters) and the angle adjacent to the vertical height (35 degrees), we can use the sine function.
sin(35°) = opposite/hypotenuse
sin(35°) = x/4.1
x = 4.1 * sin(35°)
x = 4.1 * 0.5736
x ≈ 2.35
Therefore, the top of the slide is approximately 2.35 meters above the ground.