Raghav placed a 37-foot ladder against a wall of the base of the ladder is 12 feet from the base of the wall how high will the ladder reach up the wall?
Answers
Question :- Raghav placed a 37-foot ladder against a wall of the base of the ladder is 12 feet from the base of the wall how high will the ladder reach up the wall ?
Answer :-
from image we can see that,
- AC = ladder = 37 feet.
- BC = Distance between Base of ladder and the wall = 12 feet.
- AB = Height of wall up to the top of ladder.
- ∠ABC = 90° .
we know that ,
- in right angled ∆, (Perpendicular)² + (Base)² = (Hypotenuse)² .
So,
in right angled ∆ABC,
→ (Perpendicular)² + (Base)² = (Hypotenuse)² .
→ (AB)² + (BC)² = (AC)²
→ (AB)² = (AC)² - (BC)²
Putting values we get :-
→ (AB)² = (37)² - (12)²
→ (AB)² = 1369 - 144
→ (AB)² = 1225
→ (AB)² = (35)²
square - root both sides,
→ AB = 35 feet . (Ans.)
Hence, the ladder is 35 feet high up the wall.
Learn more :-
two vertical poles of different height are standing 25 metre away from each other on the same level ground the angle of ...
https://brainly.in/question/11668221
The angle of depression of the top and bottom of a 12m tall building from the top of a multi storeyed building are 30 an...
https://brainly.in/question/2958100
Step-by-step explanation:
Hope this will help you.
