Post a New Question

geometry

posted by .

A painter leans a 20-ft ladder against a building. The base of the ladder is 12 ft from the building. To the nearest foot, how high on the building does the ladder reach?

  • geometry -

    This forms a right angle triangle.

    a^2 + b^2 = c^2

    a^2 + 12^2 = 20^2

    a^2 + 144 = 400

    a^2 = 256

    a = 16

  • pre algrbra -

    a=16

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. geometry

    A painter leans a 15 ft ladder against a house. The base of the ladder is 5 ft from the house. a) To the nearest tenth of a foot, how high on the house does the ladder reach?
  2. algebra 1

    A ladder leans against a building, forming an angle of 53° with the ground. The base of the ladder is 3 ft from the building. To the nearest hundredth of a foot, how long is the ladder?
  3. geometry

    A 24 foot ladder forms a 76 degree angle with the ground. The top of the ladder rests against the building. To the nearest inch how high up the building does the ladder reach?
  4. Algebra

    A fireman leans a 40-ft long ladder up against a building. The base of the ladder creates an angle of elevation of 32 degrees with the ground. How far is the base of the ladder from the base of the building?
  5. Trig

    A 24-foot ladder is placed against a building. The building is perpendicular to the level ground so that the base of the ladder is 11 feet away from the base of the building. How far up the building, in feet, does the ladder reach?
  6. college algebra

    A contractor leans a 23-foot ladder against a building. The distance from the ground to the top of the ladder is 7 feet more than the distance from the building to the base of the ladder. How far up the building is the ladder to the …
  7. Trigonometry

    A 19-ft ladder leans against a building so that the angle between the ground and the ladder is 80∘. How high does the ladder reach on the building?
  8. Geometry

    A Ladder leans against a 15 foot tall building to form a right angle. The ladder is placed so it is 8 feet from the base of the building. What is the length of the ladder?
  9. Algebra

    a painter leans a 25 foot ladder against a building. The distance from the ground to the top of the ladder is 17 feet more than the distance from the building to the base of the ladder. Find the distance from the building to the base …
  10. 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?

More Similar Questions

Post a New Question