Can anyone please tell the book which has this question?
A street light bulb is fixed on a pole 6 m. above the level of the street. If a woman of height 1.5 m casts a shadow of 3 m, then find how far she is away from the base of the pole.
Triangles class 10
Answers
Answer:
Book name =
NCERT Exemplar Solution for CBSE Class 10 Mathematics: Triangles (Part-)
We bring here the CBSE Class 10 Mathematics chapter 6, Triangles: NCERT Exemplar Problems and Solutions (Part-). This part is a continuation of ‘Triangles: NCERT Exemplar Problems and Solutions and contains solutions to Q. No. 7-12 from Exercise 6.4 that consists only of the Long Answer Type Questions.
Step-by-step explanation:
question answer
Let A be the position of the street bulb fixed on a pole AB=6 m and CD=1.5 m be the height of a woman and her shadow be ED=3 m.
Let distance between pole and woman be x m.
Here, woman and pole both are standing vertically.
So,CD∥AB
In △CDE and △ABE,∠E=∠E(common angle)
⇒∠ABE=∠CDE (each equal to 90
∘
)
⇒∠BAE=∠ECD (Corresponding angles)
∴△CDE∼△ABE by AAA similarity criterion
Then,
EB
ED
=
AB
CD
⇒
3+x
3
=
6
1.5
⇒3×6=1.5(3+x)
⇒18=4.5+1.5x
⇒1.5x=18−4.5=13.5
⇒x=
1.5
13.5
=9m
Step-by-step explanation:
Q. A street light bulb is fixed on a pole 6 m. above the level of the street. If a woman of height 1.5 m casts a shadow of 3 m, then find how far she is away from the base of the pole ?
Ans :- All Explaination has been Above In a Image Form with diagrams find
the Attachment
hope it's help
