the horizontal distance between two Towers is80m. the angle of depression of the top of the first tower when seen from the top of the second Tower is 30 degree if the height of the second Tower is 160 metre find the height of the first tower
the correct ans is 113.8m
Answers
Answer:
Step-by-step explanation:
Solution:
From the figure, height of second tower = AC + CE
= AC + 160 (CE = 160)
Now in Δ ABC,
tan 30° = AC/BC
=> 1/√3 = AC/80
=> AC* √3 = 80
=> AC = 80/√3
=> AC = (80*√3)/(√3*√3)
=> AC = (80*√3)/3
So height of first tower = AC+CE
= (80*√3)/3 + 160 m
Answer:
During her reign, Elizabeth I established Protestantism in England; defeated the Spanish Armada in 1588; maintained peace inside her previously divided country; and created an environment where the arts flourished. She was sometimes called the "Virgin Queen", as she never married.
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