12 ft ladder, 77 degree angle

Question

A 12-ft-long ladder is leaning against a wall and makes a 77 degree angle with the ground. How high does the ladder reach on the wall? Round to the nearest inch.

Answer 1

Greetings! Lets solve this shall we ?

So, we must find out how high the ladder reaches the wall given the ladder length of 12 feet making a 77 degree angle of elevation. We must find the height the ladder reaches the wall ! We convert 12 feet into 144 inches such that

So, we use the trig function sine such that

sin77 = x / 144.........Then we solve for x by cross multiplying to get

x = 144sin77

x = 140 inches

I hope this helped!

x = 12