a 24ft ladder positioned against a wall forms an angle of 75 degrees with the ground, how high up the wall does the ladder reach

Question

i would really like it if you could help me out, I am very confused on this subject (trig)

Answer 1

the ladder, the ground, and the wall form a right triangle

the ladder is the hypotenuse

use the sine function

sin=opp/hyp

sin(75º)=w/24

sin(75º)*24=w, which represents how high up the wall the ladder goes

use a calculator to find sin(75º) or use a table or use the web

sin(75º)=0.96592582628

0.9659258*24=23.18 feet approx.