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Earn +20 ptsQ: How high will a 20 foot extension ladder go?
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When a painter leans a 29 foot ladder so that the base of the ladder is 21 feet from the wall. What is the height at which the top of the ladder touches the wall?
Using Pythagoras' theorem it is 20 feet
How long must a ladder be to reach the top of a 20' wall if the ladder and the wall form a 32 degree angle at the top?
Then an angle of 58 degrees will be at the bottom of the ladder. Use trigonometry and the sine ratio: sin = opp/hyp and hyp = opp/sin hyp = 20/sin(58) = 23.58356807 length of ladder = 24 feet to the nearest foot
A painter is painting a mural on a wall. He has a 20-foot ladder. He needs to work on a part of the wall that is 16 feet above the ground. How far from the base of the building should he place the foo?
Using Pythagoras' theorem the the foot of the ladder should be 12 feet away from the base of the building.
How long must a ladder be to reach to top of a 20 foot wall if the ladder and the top wall form a 32 degree angle at the top in a plus?
The ladder forms the hypotenuse (r) and the wall forms the vertical (y) of a right triangle. sin theta = y / r the angle at the bottom is (90 - 32) = 58 sin 58 = 20 / r r = 20 / sin 58 = 23.583568067241928552025478405751 feet ladder must be about (rounding) 23.6 feet long.
How long a ladder in needed to reach a window 20 ft. high if it's base rest 7 ft. from the base of the building?
27
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