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Find m/_J for each right triangle to the nearest deg 8. 9. J

Find m∠J m \angle J for each right triangle to the nearest deg\newline88.\newline99. J

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Full solution

Q. Find m∠J m \angle J for each right triangle to the nearest deg\newline88.\newline99. J
  1. Assume triangle sides: First, we need to know the other angles or sides of the triangle to find m/_Jm/\_J, but since we only have the number 88 and 99, let's assume they are the lengths of the legs of the right triangle.
  2. Sum of angles: In a right triangle, the sum of the angles is always 180180 degrees, and one of the angles is always 9090 degrees. So, the other two angles must add up to 9090 degrees.
  3. Use trigonometric function: We can use the trigonometric function tan⁡\tan to find m/_Jm/\_J since we have the lengths of the opposite (99) and adjacent (88) sides to the angle.
  4. Calculate tan⁡(J)\tan(J): Calculate tan⁡(J)=oppositeadjacent=98\tan(J) = \frac{\text{opposite}}{\text{adjacent}} = \frac{9}{8}.
  5. Find angle using calculator: Now, use a calculator to find the angle whose tangent is 98\frac{9}{8}.
  6. Final angle calculation: After using the calculator, we find that tan⁡−1(98)\tan^{-1}(\frac{9}{8}) is approximately 48.3748.37 degrees.

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