Question:
A man at M standing 100 m away from the base (P) of a chimney of height 50 m. He observes the angle of elevation of the highest point (Q) of the smoke to be 45°. The highest point of the chimney is at R. Further P, R and Q are in a straight line and the straight line is perpendicular to PM. What is the angle RMQ equal to?
A man at M standing 100 m away from the base (P) of a chimney of height 50 m. He observes the angle of elevation of the highest point (Q) of the smoke to be 45°. The highest point of the chimney is at R. Further P, R and Q are in a straight line and the straight line is perpendicular to PM. What is the angle RMQ equal to?
Options:
- a) tan 1 1 2
- b) tan 1 1 3
- c) tan 1 2 3
- d) tan 1 3 4
- a) tan 1 1 2
- b) tan 1 1 3
- c) tan 1 2 3
- d) tan 1 3 4
correct answer : a)
Explanation:
Q
tan 45° = 50
100
+ h
100 = 50 + h Þ h = 50 m
tan ÐRMQ = 50
100
=
1
2
ÐRMQ = tan-1
1
2
Q
tan 45° = 50
100
+ h
100 = 50 + h Þ h = 50 m
tan ÐRMQ = 50
100
=
1
2
ÐRMQ = tan-1
1
2