To solve this problem, we can use the properties of right triangles and the definition of sine, cosine, and tangent. In this case, we know the opposite side (height of the slide) and we want to find the hypotenuse (length of the slide). We can use the sine function to solve this problem.

The sine of an angle in a right triangle is defined as the length of the opposite side divided by the length of the hypotenuse. In this case, the angle is 37 degrees and the opposite side is 30 feet. We can set up the following equation:

sin(37 degrees) = 30 feet / length of the slide

To solve for the length of the slide, we can rearrange the equation:

length of the slide = 30 feet / sin(37 degrees)

Using a calculator, we find that sin(37 degrees) is approximately 0.6018.

length of the slide = 30 feet / 0.6018 = approximately 49.85 feet

So, the length of the slide is approximately 49.85 feet.

Question

To solve this problem, we can use the properties of right triangles and the definition of sine, cosine, and tangent. In this case, we know the opposite side (height of the slide) and we want to find the hypotenuse (length of the slide). We can use the sine function to solve this problem.

The sine of an angle in a right triangle is defined as the length of the opposite side divided by the length of the hypotenuse. In this case, the angle is 37 degrees and the opposite side is 30 feet. We can set up the following equation:

sin(37 degrees) = 30 feet / length of the slide

To solve for the length of the slide, we can rearrange the equation:

length of the slide = 30 feet / sin(37 degrees)

Using a calculator, we find that sin(37 degrees) is approximately 0.6018.

length of the slide = 30 feet / 0.6018 = approximately 49.85 feet

So, the length of the slide is approximately 49.85 feet.

Knowee AI · Accepted Answer

To solve this problem, we can use the properties of right triangles and the definition of sine, cosine, and tangent. In this case, we know the opposite side (height of the slide) and we want to find the hypotenuse (length of the slide). We can use the sine function to solve this problem.

The sine of an angle in a right triangle is defined as the length of the opposite side divided by the length of the hypotenuse. In this case, the angle is 37 degrees and the opposite side is 30 feet. We can set up the following equation:

The figure above shows a straight water slide that extends from a platform 30 feet high. If the angle of elevation of the water slide is 37o, what is the length of the slide?

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