CPM Homework Help : CCA2 Problem 1-67

Right triangle, labeled as follows: horizontal leg, x, vertical leg, y, hypotenuse, 3. Exterior angle to horizontal leg, labeled 155 degrees. 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. Find the height of the slide ( $y$ ) and the length of the floor it will cover ( $x$ ).

Hint:

Review the trigonometric ratios from the Math Notes box in this lesson. Which angle represents " $θ$ " for those equations?

More Help:

In order to produce the correct value, the inside angle must be used. See the diagram below.
Added to triangle, shading & label of 25 degrees, on angle opposite vertical leg.