Question

Solve for x. Round your answer to the nearest tenth. 3.2 3 X =

Answer 1

Answer:

  x = 6.8

Step-by-step explanation:

The angle where the tangent meets the diameter is a right angle. This means the triangle is a right triangle and the Pythagorean theorem applies.

  x² = 3.2² +6² . . . . . . . . the radius is 3, so the diameter is 6

  x² = 46.24

  x = √46.24 = 6.8

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Additional comment

This is an 8-15-17 right triangle, scaled by a factor of 0.4.