homework help in trigonometric functions

Question

A ladder is places at an incline against a wall, making an angle of 30° with the ground. If the length of the ladder is 10 feet, find the height of the point where the ladder touches the wall

 

Answer 1

Draw and label a diagram

y = height of building

h = length of ladder

 

sin θ = y / h

sin 30° = 1/2

 

y / h = 1 / 2

y / 10 = 1 / 2

y = 5