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motikmotik
2 years ago
9

Select all of the right triangles.

Mathematics
1 answer:
Mariulka [41]2 years ago
3 0

Answer:

Step-by-step explanation:

Triangle ABC: 30^2 + 40^2 = 50^2 is a true statement, so by the Pythagorean theorem, this is a right triangle.

Triangle XYZ: 1^2 + 1^2 = 2^2 is a false statement, so by the Pythagorean theorem, this is not a right triangle.

Triangle EFG: 8^2 + 15^2 = 17^2 is a true statement, so by the Pythagorean theorem, this is a right triangle.

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Answer:

The rock formation is approximately 7 feet tall.

Step-by-step explanation:

<em>We can visualize this situation as a triangle and know that the bottom side is </em><em>10</em><em> and the angle of elevation (the angle created by Mike and the ground, looking to the top of a rock). With this information, we can use tangent to solve.</em>

<em>x = the height of the rock formation</em>

tan(22°) = x/10

10 tan(22°) = x

x = ~4.04 feet

<em>We also have to add the </em><em>3 feet</em><em> to it because it is being measured 3 feet above the floor.</em>

x + 3 = 7.04 feet

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Step-by-step explanation:

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