A 145m fire truck ladder is leaning against a wall Find the

A 14.5-m fire truck ladder is leaning against a wall. Find the distance d the ladder goes up the wall (above the fire truck) if the ladder makes an angle of 35 degree 29\' with the horizontal.

Solution

Applying trigonometric function in the right agled triangle:

sin(35deg29\') = height/hypotenuse = d/14.5

35deg29\' =35.48 deg

sin(35.48) = d/14.5

d = 43.9 mt