The sum of 2 complementary angles equals 90 degrees.
If angle 1 and 2 are complementary and angle 1 and 3 are also complementary than angle 2 would have to be the same as angle 3.
The answer would be true.
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The length of the rope needed is 15 feet
Given the following parameters;
- Height of the pole = 9 foot
- The distance from the <u>rope away from the base </u>of the pole is 12 feet
Required
To get the length of the rope, you will use the pythagoras theorem expressed as:
Substituting the given parameters:
c² = 9² + 12²
c² =81 + 144
c² = 225
c = √225
c = 15 feet
Therefore the length of the rope needed is 15 feet
Learn more on Pythagoras theorem here: brainly.com/question/231802