Engineering Board Exam Reviewer · Solutions to Right Triangles · medium

A 13-m ladder stands with its foot 5 m from a wall. The foot is pulled 2 m farther from the wall. How far does the top of the ladder slide down the wall, in meters?

  1. 2
  2. 1.38
  3. 1.05
  4. 0.76

Answer

C. 1.05

Solution

Initially the top is at sqrt(132-52)=12 m. With the foot at 7 m, the top is at sqrt(132-72)=sqrt(120)=10.95 m. It slides 12-10.95=1.05 m.

More Solutions to Right Triangles questions

  1. A straight road rises 12 m for every 100 m measured along the road. Find its angle of inclination with the horizontal, in degrees.
  2. From a point 80 m from a building, the angle of elevation of the top of the building is 30° and the angle of elevation of the top of a…
  3. A ship sails 12 km due east and then 5 km due north. At what angle, measured from north toward east, is its final position from the…
  4. A kite string 120 m long is held taut and makes an angle of 50° with the horizontal. Find the height of the kite above the hand, in meters.
  5. From the top of a 40-m cliff, the angle of depression of a boat on the sea is 25°. How far is the boat from the foot of the cliff, in…
  6. In a right triangle the hypotenuse is 20 cm and one acute angle is 30°. Find the side opposite that angle, in cm.
  7. A vertical pole 6 m tall casts a shadow 8 m long on level ground. Find the angle of elevation of the sun, in degrees.
  8. From a point 50 m from the foot of a tower on level ground, the angle of elevation of the top is 35°. Find the height of the tower in…
  9. A 10-m ladder leans against a wall and makes an angle of 60° with the ground. How high up the wall does it reach, in meters?
  10. The legs of a right triangle are 9 cm and 12 cm. Find the hypotenuse in cm.

All Solutions to Right Triangles questions