(i) From the roof of a house of 11 meter high, the angles of question of de topand foot of a lamp post are 30° and 60° respectively. Find the heght of the lamp post.
Answers
★Given →
- The height of the house (AC)= 11 m
- The angles of depression of the top and foot of the lamp post are 30° and 60°.
angle FAE = 30° , angle FAD=60°
★To find →
The height of the lamp post.
★Solution→
In the attachment, AC is the height of the house and ED is the height of the lamp post.
•angle FAE = angle AEB = 30°
•angle FAD = angle ACD = 60°
∆ACD is a right triangle.
CD||BE and CD = BE
Again,
∆ ABE is a right triangle.
•To find the value of BC ,we need to substrate AB from AC.
AC = 11 m
BC = AC- AB
So, the height of the lamp post is 7.33 (approx) m.
★Answer→
The height of the lamp post is 7.33 (approx) meter.
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Answer:
★Answer→
The height of the lamp post is 7.33 (approx) meter
★Given →
The height of the house (AC)= 11 m
The angles of depression of the top and foot of the lamp post are 30° and 60°.
angle FAE = 30° , angle FAD=60°
★To find →
The height of the lamp post.
★Solution→
In the attachment, AC is the height of the house and ED is the height of the lamp post.
•angle FAE = angle AEB = 30°
•angle FAD = angle ACD = 60°
∆ACD is a right triangle.
CD||BE and CD = BE
Again,
∆ ABE is a right triangle.
•To find the value of BC ,we need to substrate AB from AC.
AC = 11 m
BC = AC- AB
So, the height of the lamp post is 7.33 (approx) m.