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 height of the top of the slide above the ground, we can use trigonometry.
We can set up a right triangle where the slide is the hypotenuse, the height we are trying to find is the opposite side (opposite to the angle of 35 degrees), and the base of the triangle is the distance along the ground.
Using the sine function, we can write:
sin(35 degrees) = opposite / hypotenuse
sin(35) = h / 4.1
h = 4.1 * sin(35)
h ≈ 2.376
Therefore, the top of the slide is approximately 2.4 meters above the ground.
isnt it 2.3517
To be more accurate, let's calculate the height of the top of the slide using the value of sin(35 degrees):
h = 4.1 * sin(35 degrees)
h = 4.1 * 0.5736
h ≈ 2.35176
Therefore, the top of the slide is approximately 2.35 meters above the ground, rounded to the nearest hundredth. Thank you for pointing out the mistake.