Question

A building is surmounted by a flag, from a point on the ground 20 meter away
from the foot of a building, the angle of elevation of the top of building and flag
are 45 degree and 60 degree. Find the height of the building and the length of the flag.

Answer 1

Answer:

Height of building = 20 metres

Length of flag = 14.64 metres

Step-by-step explanation:

Refer to the pictures attached!

Answer 2

Step-by-step explanation:

Given: Angle of elevation of the top of building and flag are 40° and 60°. The reference diagram is attached.

To find: The height of building and length flag

For calculation of the height of the building,

In Δ$BAD$

⇒ $Tan45$°$= \frac{BA}{AD}$

⇒ $1=\frac{BA}{20}$

⇒ $BA=20cm$

For calculation of the length of the flag,

In Δ$CAD$

⇒ $Tan 60$°$= \frac{CA}{AD}$

⇒ $\sqrt{3} = \frac{CA+BA}{20}$

⇒$20\sqrt{3} = CB+20$

⇒ $CB=20\sqrt{3} -20$

⇒$CB=14.64m$

The height of the building is $20cm$ and the length of the flag is $14.64 m.$