Engineering Board Exam Reviewer · Solutions to Right Triangles · hard
A balloon hovers directly above a point on level ground. From one point the angle of elevation of the balloon is 60°; from another point 30 m farther away in the same straight line, the angle of elevation is 45°. Find the height of the balloon in meters.
- 70.98
- 40.98
- 51.96
- 81.96
Answer
A. 70.98
Solution
Let x be the nearer horizontal distance. h=x 60°=(x+30) 45°, so x 3=x+30 x=30/ 3-1=40.98 m. Then h=x 3=70.98 m.
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