Question

A vertical tower 10 m high makes a right angle at the top of the flag pole if the distance between them is 20m them the height of the tower rises.​

Answer 1

Answer:

Step-by-step explanation:Let AB be the flagstaff and CD be the vertical tower.

AB=10m=EC

BC=20m=AE

In triangle ABC we have,

tanx=AB/BC

tanx=10/20

1/tanx=20/10

10/tanx=20.............................1

In triangle ADE we have

tan(90-x)=DE/AE

cotx=DE/20

1/cotx=20/DE

DE/cotx=20.........................2

by eq1 and. eq 2 we get

10/tanx=DE/cotx

10/(AB/BC)=DE/(BC/AB)

10/(10/20)=DE/(20/10)

10×20/10=DE×10/20

DE=40m

Therefore height of vertical tower = DE+EC=40+10=50m