applications of trigonometry - A contractor wants to set up a slide for the children to play in the park. He wants to set it up at the height of 2 m and by making an angle of 30º with the ground.

Krishna (last edited 2 years ago) (Expert, Educator @Qalaxia)

Step 1: According to the given information draw a figure.

NOTE: Height of the slide from the ground = 2 m

Angle of the slide = 30\degree

The length of the slide = ?

Step 2: Use the trigonometric ratio to find the unknown length.

EXAMPLE: To find adjacent side(CB) use \sin \theta = \frac{opposite}{hypotenuse}

\sin 30\degree = \frac{2}{hypotenuse}

\frac{1}{2} = \frac{2}{AC}

AC = 2 * 2

Therefore, the length of the slide = 4 cm