Problema Solution
A 25 foot ladder leans against a building. The ladders base is 13.5 feet from the building. Find the angle which the ladder makes with the ground
Answer provided by our tutors
57.3 degrees.
You use the law of sines.
first you use the pythagorean theorem to find the measurement of all sides.
a^2 +b^2=c^2. since we have sice c and b, find a. a= 21.04
let a=21.04 (building side), with unknown opposing angle sinA.
let b=25 (ladder) with opposing angle 90 degrees
a*sinB/b = sinA
21.04*sin90degrees/25 = 0.8416 radians which equals 57.3 degrees