Question

Ms. Lund placed a 7 foot ladder against a wall with the base of the ladder 4 feet away from the wall . she decided that a different , 10 foot ladder needed to be used . for if Ms. Lund wants the longer ladder to rest against the wall at the same angle as the shorter ladder , about how far away from the wall should she place its base ?

Answer 1

ladders leaning against the wall form triangles. If two of these triangles share the same angle (except the one between wall and floor), they're similar. (The angle between wall and floor is the same, and the sum of all angles in a triangle is 180 degrees)

$\frac{7}{10} = \frac{4}{x} \\ x = \frac{40}{7}$

Answer 2

The distance the wall should place its base will be 5.71 feet.

What is trigonometry?

Trigonometry is the branch of mathematics that set up a relationship between the sides and angle of the right-angle triangles.

ladders leaning against the wall form triangles. If two of these triangles share the same angle (except the one between the wall and floor), they're similar. (The angle between wall and floor is the same, and the sum of all angles in a triangle is 180 degrees)

The distance will be calculated as below:-

( 7 / 10 ) = ( 4 / x )

x = ( 10 x 4 ) / 7

x = 5.71 feet

Therefore, the distance the wall should place its base will be 5.71 feet.

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