The angle of elevation of the top of a 10m high building from a point P on the ground is 30°. A flag is hoisted at the top of the building and the angle
of elevation of the top of the flag staff from P is 45°. Find the length of the flag staff and the distance of the building from point P.
Answers
Answered by
20
Given :-
- Height of building=10m
- Angle of elevation from the top of building to point P is 30°
- And angle of elevation from Flag staff from P is 45°
To Find :-
- We have to find the length of flag staff
- And the distance of building from point P
Solution
- Let RQ be the building and ST be the flag staff
- Then ,
- Let SR = h metres
From right ∆PQR , We have
★From right ∆PQS, we have
Attachments:
BrainlyPopularman:
Nice ♥️
Answered by
22
Distance of the building from point P is 17.32 m.
Length of flagstaff = 7.32 m
In ∆PAB,
Tan30° =
⟹ AP = 10√3
⟹ AP = 10 × 1.73
⟹ AP = 17.32 m
∴ Distance of the building from point P is 17.32 m.
Now, let's suppose DB = x m.
AD = (10+x) m.
In ∆PAD,
Tan45° =
⟹ x = 10(√3-1)
⟹ x = 7.32 m
∴ Length of flagstaff = 7.32 m
Attachments:
Similar questions