Question

the angel of elevation of the top of a tower at a distance of 120m from a point a on the ground is 45⁰ .if the angel of elevation of the top of a flagstaff fixed at the top of the tower ,at A is 60⁰then find the height of the flagstaff. (use./3=1.732.)​

Answer 1

Answer:

87.6m

Step-by-step explanation:

Let AB is the tower of height h meter and AC is flagstaff of height x meter.

∠APB=45o and ∠BPC=60o

tan60o=120x+h

3=120x+h

x=1203−h

tan45o=120h

1=120h

h = 120

Substitute the value of h in x,

x=1203−120

x=120(3−1)

x=120(1.73−1)

x=87.6m

Therefore the height of the flagstaff = 87.6m