Question

A 6m ladder reaches higher up the wall when placed at a 70 degree angle of elevation rather than a 60 degree angle of elevation. How much higher will it reach at the 70 degree angle?

Answer 1

The ladder will reach higher by 0.442m if it was later placed on the wall at a 70 degree angle of elevation after placing it on a 60 degree angle.

Step-by-step explanation

Please kindly see the attached for explanation.

Answer 2

0.442m

Explanation:

see attachment for the figure.

We know the formula :

sinθ = Perpendicular/Hypotenuse

From figure 1: when angle is 60°

perpendicular = 'h' and Hypotenuse=6m

by putting in the formula

sin 60°= h/6 (rearranging for h)

h=6 sin60°

h= 5.196m

From figure 2: when angle is 70°

perpendicular = 'h' and Hypotenuse=6m

by putting in the formula

sin 70°= h/6 (rearranging for h)

h=6 sin70°

h= 5.638m

therefore, h= 5.638-5.196=> 0.442m

the ladder will reach 0.442m much higher at the 70° angle