# Math

A 6m ladder leans against a wall. The foot of the ladder is placed at an angle of elevation at 63 degrees with the ground. How far is the foot of the ladder from the wall?

1. 👍 0
2. 👎 0
3. 👁 185
1. We dra a rt. triangle.

X = Hor. side = Dist. from foot of ladder to wall.
Y = Ver. side.
Z = Hyp. = 6 m. = Length of ladder.

X = Z*cos63 = 6*cos63 = 2.72 m.

1. 👍 0
2. 👎 0
2. Post it.

1. 👍 0
2. 👎 0

## Similar Questions

1. ### Calculus

A 18 ft ladder leans against a wall. The bottom of the ladder is 3 ft from the wall at time t=0 and slides away from the wall at a rate of 2ft/sec. Find the velocity of the top of the ladder at time t=2

2. ### Calculus (related rates)

A ladder 13 meters long rests on horizontal ground and leans against a vertical wall. The foot of the ladder is pulled away from the wall at the rate of 0.4 m/sec. How fast is the top sliding down the wall when the foot of the

3. ### Math

A 15 ft ladder leans against a wall. The bottom of the ladder is 3 ft from the wall at time t=0 and slides away from the wall at a rate of 3ft/sec. Find the velocity of the top of the ladder at time t=3.

4. ### Trig

A 12 foot ladder leans against a building. The top of the ladder leans against the wall 10.5 feet from the ground. What is the angle formed by the ground and the ladder? Assume its a right triangle.

1. ### Pre-Calculus

A ladder leans leans against a building that has a wall slanting away from the ladder at an angle of 96 degrees with the ground. If the bottom of the ladder is 23 feet from the base of the wall and it reaches a point 52 feet up

2. ### Trigonometry

a 20ft. ladder is leaning against a wall so that the foot of the ladder is 9ft. from the buss of the wall what angle does the ladder make with the ground? what is the distance from the top of the ladder to the base of the house?

3. ### math

A ladder 10 m long rests on horizontal ground and leans against a vertical wall. The foot of the ladder is pulled away from the wall at 2 m/s. How fast is the top sliding down the wall when the foot of the ladder is 6m from the

4. ### math

A ladder of length 6m leans against a vertical wall so that the base of the ladder is 2m from the wall. calculate the angle between the ladder and the wall

1. ### algebra

an 18-foot ladder leans against the wall of a building. the base of the ladder is 9 feet from the bulding on level ground.how many feet up the wall,to the nearest tenth of a foot,is the ladder?

2. ### algebra

A ladder is resting against a wall. The top of the ladder touches the wall at a height of 15 feet and the length of the ladder is one foot more than twice the distance from the wall. Find the distance from the wall to the bottom

3. ### algebra

a 17-foot ladder leans against a wall. if the ladder is 8 feet from the base of the wall, how far is it from the bottom of the wall to the top of the ladder

4. ### Algebra

The foot of an extension ladder is 9ft from a wall. The height that the ladder reaches on the wall and the length of the ladder are consecutive integers. How long is the ladder?