Trigonometry

1. Brothers Bob and Tom buy a tent that has a center pole of 6.25 feet high. If the sides of the tent are supposed to make a 50deg angle with the ground, how wide is the tent?

2. A swimming pool is 30 meters long and 12 meters wide. The bottom of the pool is slanted so that the water depth is 1.3 meters at the shallow end and 3 meters at the deep end. Find the angle of depression at the bottom of the pool.

  1. 👍 0
  2. 👎 0
  3. 👁 185
  1. 1. let the width of the tent be 2x
    from my diagram,
    tan 50° = 6.25/x
    x = 6.25/tan50 = 5.24

    So the tent is 2(5.24) appr 10.5 ft wide

    2 make a diagram showing a side-view of the pool
    Draw a line parallel to the surface of the pool from the shallow end to the deep end, giving you a right-angled triangle
    let the angle be Ø
    tanØ = 1.7/30 = .05666..
    Ø = 3.24°

    (notice the width of the pool does not enter the picture)

    1. 👍 0
    2. 👎 0
    posted by Reiny

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    The center pole of a tent is 8 feet long. the side of the tent is 12 feet long. If a right angle is formed where the center pole meets the ground, what is the measure of angle a.(there is a pic, the 8ft line is the center pole

    asked by B8 on March 4, 2014
  2. trig

    A 52-foot wire running from the top of a tent pole to the ground makes an angle of 57° with the ground. If the length of the tent pole is 44 feet, how far is it from the bottom of the tent pole to the point where the wire is

    asked by janice on November 16, 2012
  3. algebra

    A guy rope is attached to the top of a tent pole. The tent pole is 8 feet tall. If the guy rope is pegged into the ground 5 feet from the tent, how long is the guy rope?

    asked by Anonymous on April 16, 2014
  4. algerba

    A guy rope is attached to the top of a tent pole. The guy rope is pegged into the ground 7 feet from the tent. If the guy rope is 11 feet long, how long is the tent pole? Round to one decimal place as needed.

    asked by steve on April 18, 2018
  5. algerbra

    A guy rope is attached to the top of a tent pole. The guy rope is pegged into the ground 7 feet from the tent. If the guy rope is 11 feet long, how long is the tent pole? Round to one decimal place as needed.

    asked by Anonymous on April 18, 2018
  6. Calculus

    A square piece of canvas measuring 10 ft. by 10 ft. is to be used to make a pup tent with open ends as shown. How long should the center pole be if the volume covered by the tent is to be maximum?

    asked by NF on November 24, 2012
  7. Geometry/Math

    Judy lies on the ground 45 feet from her tent. Both the top of the tent and the top of a tall cliff are in her line of sight Her tent is 10 feet tall. About how is the cliff? Assume the two triangles are similar. Postscript: The

    asked by Taylor on January 14, 2014
  8. Maths

    Tom has more money than Bob. If Tom gave Bob R20 , they would have the same amount. While if Bob gave Tom R22 , Tome would then have twice as much as Bob. How much does each one actually have?

    asked by Hope on March 16, 2016
  9. geometry

    ok,judy lies on the ground 45 feet from her tent. both the top of the tent and the top of the cliffare in her line of sight. her tent is 10 feet tall. about how high is the cliff

    asked by Quintasia on November 6, 2008
  10. Math

    1. To find the height of a pole, a surveyor moves 120 feet away from the base of the pole and then, with a transit 8 feet tall, measure the angle of elevation to the top of the pole to be 36*. to the nearest foot, what is the

    asked by Tim on April 19, 2016

More Similar Questions