Question

Q1) A ladder 25 feet long is leaning against a wall that is perpendicular to the ground. If the foot of the ladder is 7 feet from the base of the wall, find the height of the point at which the ladder touches the wall.

Q2) Ankur starts from his house and travels 10 km towards North and then turns left and travels 24
km to reach his office. How far his Ankur's office from his house?

Mathematics - The Triangle And Its Properties​

Answer 1

Answer:

1)24

2)26

Step-by-step explanation:

1) the ladder , wall and ground form a right angled triangle

by pythagoras theorum

25²=7²+w²

625=49+w²

w²=576

w=24

the ladder touches the wall at a height of 24 feet

2)the path he followed and the direct distance form a right angled triangle

by pythagoras theorum

24²+10²=d²

676=d²

d=26

the house is 26 kms away from his house

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