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?

  1. 👍
  2. 👎
  3. 👁
  1. The ladder forms the hypotenuse of a right triangle. Solve for a

    a^2 + b^2 = c^2
    a^2 + 9^2 = 18^2
    a^2 + 81 = 324
    a^2 = 243
    a = 15.589 = 15.6 feet

    1. 👍
    2. 👎
    👤
    Ms. Sue

Respond to this Question

First Name

Your Response

Similar Questions

  1. 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.

  2. math

    A 10 foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 8 feet from the base of the building. How high up the wall does the ladder reach.

  3. math

    A 19 ​-foot ladder is placed against a vertical wall of a​ building, with the bottom of the ladder standing on level ground 13 feet from the base of the building. How high up the wall does the ladder​ reach?

  4. 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

  1. math

    a 13 ft ladder is placed against a vertical wall of a building, with the bottom of the ladder stand on level ground 5ft from the base of the building. how high up the wall does the ladder reach.

  2. Pre-Cal

    A 13-ft ladder leans against a building so that the angle between the ground and the ladder is 63 degrees. How high does the ladder reach on the building? (round your answer to the nearest foot)

  3. math

    A 10-foot ladder is leaning against a wall. The base of the ladder is 2 feet from the base of the building. How far up the building does the ladder fall?

  4. math

    a 15 foot ladder is placed against a vertical wall of a building with the bottom of the ladder stand on level ground 12 feet from the base of the building. How high up the wall does the ladder reach?

  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. math

    a ladder leans against a building forming an angle of 56 degrees with the ground.The base of the ladder is 3 feet from the building. Use the cosine to determine the length of the ladder.

  3. 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

  4. 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

You can view more similar questions or ask a new question.