Answer:
15.2 cm, 130 m
Step-by-step explanation:
1. The sine of angle Z is XY/17.4; (opposite/hypotenuse);
sin(61) = XY/17.4; multiply both sides by 17.4 to find XY
17.4sin(61) = 15.2 cm
2.
This triangle is made by the anchor of the balloon to the ground, the balloon, and the area on the ground directly below the balloon.
The hypotenuse of the triangle is the 170 m string.
The angle of inclination is 50 degrees.
The height of the triangle will be opposite of the angle of inclination.
Therefore,
sin(50) = height/170 (opposite/hypotenuse)
170sin(50) = 130.2 meters
