a slide 11 meters long makes an angle of 24 with the ground to the nearest tenth of a meter how long is the top part of the slide using trigonometry explain
To find the length of the top part of the slide, we can use trigonometry.
First, we can use the sine function since we have the angle and the length of the slide.
sin(24) = opposite / hypotenuse
sin(24) = top part / 11
Rearranging the equation to solve for the top part:
top part = sin(24) * 11
top part ≈ 4.7 meters
Therefore, the length of the top part of the slide is approximately 4.7 meters.
what does the star symbol mean
The star symbol (*) in mathematics typically represents multiplication. So, in the equation "top part = sin(24) * 11", the star symbol denotes that we are multiplying the sine of 24 degrees by 11 to find the length of the top part of the slide.
so what is the sine of 24
The sine of 24 degrees is approximately 0.4067.
Therefore, the calculation of the top part of the slide should be:
top part ≈ 0.4067 * 11
top part ≈ 4.47 meters