We appreciate your visit to A slide 4 3 meters long makes an angle of 33 with the ground To the nearest tenth of a meter how far above the. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To find how far above the ground the top of the slide is, we'll use some trigonometry. Since we know the length of the slide and its angle with the ground, we can use the sine function to find the height. Here's how it works:
1. Understand the right triangle formed: Imagine the slide, the ground, and a line directly down from the top of the slide to the ground forming a right triangle. The slide itself is the hypotenuse, the height is what we want to find, and the angle between the slide and the ground is given.
2. Use the sine function: In a right triangle, the sine of an angle is the ratio of the opposite side (height in our case) to the hypotenuse (which is the slide in this case). The formula for sine is:
[tex]\[
\text{sin(angle)} = \frac{\text{opposite}}{\text{hypotenuse}}
\][/tex]
So, to find the height (opposite), we rearrange the formula:
[tex]\[
\text{opposite} = \text{hypotenuse} \times \text{sin(angle)}
\][/tex]
3. Plug in the known values:
- The hypotenuse (slide length) is 4.3 meters.
- The angle is 33 degrees.
4. Calculate the sine of 33 degrees.
5. Find the height: Multiply 4.3 meters by the sine of 33 degrees to get the height.
Finally, after performing these calculations, we find that the height of the slide above the ground is approximately 2.3 meters when rounded to the nearest tenth of a meter.
1. Understand the right triangle formed: Imagine the slide, the ground, and a line directly down from the top of the slide to the ground forming a right triangle. The slide itself is the hypotenuse, the height is what we want to find, and the angle between the slide and the ground is given.
2. Use the sine function: In a right triangle, the sine of an angle is the ratio of the opposite side (height in our case) to the hypotenuse (which is the slide in this case). The formula for sine is:
[tex]\[
\text{sin(angle)} = \frac{\text{opposite}}{\text{hypotenuse}}
\][/tex]
So, to find the height (opposite), we rearrange the formula:
[tex]\[
\text{opposite} = \text{hypotenuse} \times \text{sin(angle)}
\][/tex]
3. Plug in the known values:
- The hypotenuse (slide length) is 4.3 meters.
- The angle is 33 degrees.
4. Calculate the sine of 33 degrees.
5. Find the height: Multiply 4.3 meters by the sine of 33 degrees to get the height.
Finally, after performing these calculations, we find that the height of the slide above the ground is approximately 2.3 meters when rounded to the nearest tenth of a meter.
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