Question

A vertical tower stands on a horizontal plane and is surmounted by a

vertical flag staff of height 5m. At a point on the plane, the angles of

elevation of the bottom and the top of the flag staff are 45°

and 60°

,

respectively. Find the height of the flag staff.​

Answer 1

Answer:

In ΔBAP

tan30

o

=

AP

BA

⇒

l

h

=

3

1

l=

3

h

⇒l=3

3

m

Now,

In ΔDAP

tan60

o

=

AP

DA

⇒

3

=

3

h

6+h

⇒3h=6+h

2h=6

h=3m

height of tower.

Explanation:

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