Question

(5) A1.75 metre tall man, standing at the foot of a tower, sees the top of a
hill 40 metres away at an elevation of 60°. Climbing to the top of the
tower, he sees it at an elevation of 50°. Calculate the heights of the
tower and the hill.​

Answer 1

Answer:

Let the height of tower be h

Let height of hill be x

tan60

o

=

40

x−1.75

⇒

3

=

40

x−1.75

40

3

=x−1.75

∴, height of hill x=71.03 m

tan50

o

=

40

x−h−1.75

1.19=

40

71.03−h−1.75

47.67=71.03−h−1.75

Height of towerh=21.1 m