The height of a pole is 10m less than 1/2 the height of a building. If the height of the pole is 180 m. What is the height of the building
Answers
Answered by
2
Answer:
380m
Step-by-step explanation:
let height of building be x.
The height of pole is 180m.
Also, Height if pole=(1/2height of building)-10
180=(1/2x)-10
180+10=1/2x
190=1/2x
x=190*2
x=380m
Answered by
6
We have,
Pole of height AB=10m
Shadow of length BC=12m
Same time
Pole of height AB=?
Shadow of length BC=15m
In ΔABC
tanθ=
BC
AB
=
12
10
…… (1)
InΔABC
tanθ=
BC
AB
=
15
AB
……. (2)
Angle is equal in same time,
By equation (1) and (2) to, we get
12
10
=
15
AB
AB=
12
10×15
AB=
4
10×5
AB=
2
25
=12.5m
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