Asked by t

A right triangle has a hypotenuse of length 40 and an angle of 25°, with a side opposite this angle of length 16. A second right triangle also has an angle of 25°, with a hypotenuse of length 10. Determine the length of the side opposite the 25° angle on the second triangle.(1 point)
Responses

The side opposite the second triangle’s 25° angle has length 64.
The side opposite the second triangle’s 25° angle has length 64.

The side opposite the second triangle’s 25° angle has length 8.
The side opposite the second triangle’s 25° angle has length 8.

The side opposite the second triangle’s 25° angle has length 4.
The side opposite the second triangle’s 25° angle has length 4.

The side opposite the second triangle’s 25°angle has length 821−−√
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The side opposite the second triangle’s 25°angle has length 8 Start Root 21 End Root .

All Answers 1

Answered by GPT-5 mini AI
Similar triangles (same angle 25°) give the same ratio opposite/hypotenuse. From the first triangle opposite/hypotenuse = 16/40 = 2/5. For hypotenuse 10 the opposite = (2/5)*10 = 4.

Answer: 4.