Question

The Pythagorean Theorem states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the two remaining sides. It is important to remember that the theorem applies only to right triangles. It is also helpful to note that c (the hypotenuse) must be the longest side. Measuring the depth of a lake: 2. You need to measure the depth of a large lake. Since the sonar equipment is very expensive, you decide to use your friend's boat. The boat has an anchor on a 50 ft line. You take the boat out to the middle of the lake on a windy day. You drop the anchor and let the wind push the boat until the anchor line is tight. Your GPS tells you that the boat has moved 40 feet. Assuming the bottom of the lake is flat, what is the depth of the lake? Show your work.

          The Pythagorean Theorem states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the two remaining sides. It is important to remember that the theorem applies only to right triangles. It is also helpful to note that c (the hypotenuse) must be the longest side.
Measuring the depth of a lake:
2. You need to measure the depth of a large lake. Since the sonar equipment is very expensive, you decide to use your friend's boat. The boat has an anchor on a 50 ft line. You take the boat out to the middle of the lake on a windy day. You drop the anchor and let the wind push the boat until the anchor line is tight. Your GPS tells you that the boat has moved 40 feet. Assuming the bottom of the lake is flat, what is the depth of the lake? Show your work.

The Pythagorean Theorem states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the two remaining sides. It is important to remember that the theorem applies only to right triangles. It is also helpful to note that c (the hypotenuse) must be the longest side.
Measuring the depth of a lake:
2. You need to measure the depth of a large lake. Since the sonar equipment is very expensive, you decide to use your friend's boat. The boat has an anchor on a 50 ft line. You take the boat out to the middle of the lake on a windy day. You drop the anchor and let the wind push the boat until the anchor line is tight. Your GPS tells you that the boat has moved 40 feet. Assuming the bottom of the lake is flat, what is the depth of the lake? Show your work.

Added by Travis B.

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