Two points a and b are on opposite sides of a building. a surveyor selects a third point c to place transit. point c is 62 feet from a and 88 feet from
b. the angle acb is 61o. how far apart are points a and
b.

Okay, so basically you are going to use the Pythagorean Theorem which states: If a right triangle has sides a and b and hypotenuse c then a2+b2=c2.
You already have the distance between AC and BC so you want to figure out the distance between AB. All you have to do is plug in the information. If you draw out a picture, it will help you to visualize it.
I believe the answer is 26...

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Two points a and b are on opposite sides of a building. a surveyor selects a third point c to place transit. point c is 62 feet from a and 88 feet from b. the angle acb is 61o. how far apart are points a and b.

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Two points a and b are on opposite sides of a building. a surveyor selects a third point c to place transit. point c is 62 feet from a and 88 feet from
b. the angle acb is 61o. how far apart are points a and
b.