From a point on the roof of a house 11m high it is observed that the angle of depression of the top and foot of a lamp post are 30degree and 60degree respectively. What is the height of lamp post?
Answers
Height of lamp post = 22/3 m
Step-by-step explanation:
Let say distance between lamp post and house = d m
Tan 60° = roof height / distance between lamp post and house
=> √3 = 11 /d
=> d = 11/√3
Tan 30° = (roof height - Lamp post height) / distance between lamp post and house
=> 1/√3 = (11 - Lamp post height) /d
=>d/√3 = (11 - Lamp post height)
=> 11/√3 * √3 = 11 - Lamp post height
=> 11/3 = 11 - Lamp post height
=> Lamp post height = 11 - 11/3
=> Lamp post height = 22/3
height of lamp post = 22/3 m
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Answer:
not math it's English see this latter too and this is correct verbs from explained not mathematical