Question

A ladder placed against a vertical wall subtends an angle of 45 degree with the wall. The distance between the foot of the ladder and the wall is 15m, calculate the length of the ladder, correct to the nearest whole number.​

Answer 1

tan 45 = length of wall/distance between ladder and wall

1 = length of wall/15

length of wall = 15m

(length of wall
`)^(2)` + (distance between ladder and wall
`)^(2)` = (length of ladder
`)^(2)`

length of ladder =
`\sqrt{15^(2) + 15^(2) }`

=
`√(450)`

= 21.21 m

Answer 2

we can calculate it by applying trigonometric ratios

Explanation: