Question

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

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

Answer 1

Triangles are similar (both right with a 25° angle), so corresponding sides are proportional:
16/40 = x/10 → x = 10*(16/40) = 4.

Answer: 4.