Activity #25__ Angle - Angle - Side triangle
Solve the Real-Life Problem
You are skiing on a mountain with an altitude of 1200 ft. The angle of depression is 21 degrees. Find the distance " x" you ski down the mountain to the nearest foot.
(what is the distance of line segment CB?)
Your final triangle should look like this.
DIRECTIONS
1.
Choose the Segment with Given Length tool and enter 1200 . (line segment AB).
2.
Then use the Move tool to make your line segment vertical. (point A on top).
3.
Choose Perpendicular Line tool and then click point A and then click onto line AB. (should have to 2 lines - -one horizontal and one vertical and are perpendicular to one another). Angle A should be 90 degrees.
4.
Create a point C (pretty far away from point A) on the horizontal line.
5.
Using the Steps toolbar, hide both lines, leaving points A, B, and C.
6.
Using the polygon tool, create a triangle ABC.
7.
Using the Angle tool, find the angle measurement of C.
8.
Use the Move tool to adjust point C until the angle of C is exactly 21 degrees. Make sure angle A is 90.
9.
Using the Distance/Length tool, find the length of line BC.