Problem:

A 2- meter slide in the playground makes an angle of 36° with the ground. How high is the slide?

Solution:

One trigonometric ratios form the SOH may be used in order to come up with high of the slide of the playground. Let x be the high of the slide of the playground.

Solve the mathematical equation.

• sin θ = opposite side/hypotenuse
• sin 36° = x/2 m
• x = (sin 36°)(2 m)
• x = (0.587785)(2 m)
• x = 1.17557 m
• x = 1.18 m

Answer:

∴ The height of the playground is 1.18 meters slide.

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