207k views
4 votes
A 5m ladder reaches 4.2m up a wall. What angle does the ladder make with the wall

1 Answer

3 votes

Answer:

57.14°

Explanation:

A 5m ladder reaches 4.2m up a wall. What angle does the ladder make with the wall?

We solve the above question using the Trigonometric function of Sine

= sin theta = Opposite/Hypotenuse

Opposite = Length of the wall = 4.2m

Hypotenuse = Length of the ladder = 5m

Theta = Angle formed = x

Hence,

sin x = 4.2m/5m

x = arc sin(4.2m/5m)

x = arc sin(0.84)

x = 57.140119621°

Approximately = 57.14°

User Peguy
by
5.0k points