Question

A 3-foot indoor children's slide must meet the ground very gradually and make an angle of 155°, as
shown in the diagram at right. What are the height of the slide (y) and the length of the floor it will cover
(2)?

Answer 1

Using right triangle concepts, it is found that:

• The height of the slide is of 1.27 ft.
• The length of the floor is of 2.72 ft.

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• In the right triangle that models the situation, the hypotenuse is 3.
• The height of y is opposite to the angle of 25º.
• Sine of an angle is the length of the opposite side divided by the length of the hypotenuse, thus:

$\sin{25\textdegree} = \frac{y}{3}$

• Since sin(25º) = 0.4226:

$0.4226 = \frac{y}{3}$

$y = 3(0.4226) = 1.27$

The height of the slide is of 1.27 ft.

Applying the Pythagorean Theorem, we find the length of the floor x, thus:

$x^2 + 1.27^2 = 3^2$

$x^2 = 3^2 - 1.27^2$

$x = \sqrt{3^2 - 1.27^2}$

$x = 2.72$

The length of the floor is of 2.72 ft.

A similar problem is given at https://brainly.com/question/24796576