Question

A 13 feet ladder is placed 5 feet away from a wall. The distance from the ground straight up to the top of the wall is 13 feet. Will the ladder reach the top of the wall?

Answer 1

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Answer 2

Answer:

ladder will reach 12 feet above the ground level

it will not reach the top of the wall

Step-by-step explanation:

given, length of the ladder = 13 feet

distance from wall to foot of the ladder = 5 ft

distance between ground to top of wall = 13 feet

to find: whether ladder will reach the top of the wall

the ground, wall and the ladder forms a right triangle

applying pythagoras theorem,

hypotenuse² = base² + height²

base = 5 feet, hypotenuse = 13 feet

height² = 13² - 5² = 144

height = √144 = 12 feet

the ladder will reach 12 feet above the ground level

it will not reach the top of the wall

for the ladder to reach the top of the wall , length of the ladder should be √(13² +5²) = √194 = 13.92 feet