SOLUTION: Suppose that a 16-foot ladder is leaning against a wall, making a 75 angle with the ground (as measured from a perpendicular line from the base of the ladder to the wall). How high

Question 597824: Suppose that a 16-foot ladder is leaning against a wall, making a 75 angle with the ground (as measured from a perpendicular line from the base of the ladder to the wall). How high up the wall is the end of the ladder?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
sin(theta) = opposite/hypotenuse

sin(75) = x/16

16*sin(75) = x

x = 16*sin(75)

x = 16*0.965925826289068

x = 15.4548132206251

So the ladder reaches approximately 15.4548 feet up the wall.
RELATED QUESTIONS
An 8 foot ladder is leaning against a wall. The bottom of the ladder is 33 inches from... (answered by Alan3354)

A 20-foot ladder is leaning against a wall. The foot of the ladder makes an angle of 58... (answered by solver91311)

A ladder leaning against the wall makes an angle of 74 degrees with the ground. If the... (answered by mananth)

A 25-foot ladder leaning against a building touches the wall 16 feet above the ground.... (answered by jim_thompson5910)

A 16 foot ladder is leaning up against a building, 7 feet from the wall. How highs the... (answered by nerdybill)

A 12 foot ladder is leaning against a wall. If the ladder reaches 8 feet high on the... (answered by longjonsilver)

A 12 foot ladder is leaning against a wall. If the ladder reaches 8 feet high on the... (answered by tutorcecilia)

What is the height of a five foot ladder that is leaning against a wall at a 30 degree... (answered by drk)

A 15-foot ladder is leaning against a 30-foot wall. The bottom end of the ladder is 9... (answered by ewatrrr)