Question

If the tan of angle x is 4 over 3 and the triangle is dilated to be two times as big as the original, what would be the value of the tan of x for the dilated triangle?

a. 8 over 6
b. 4 over 3
c. 8 over 3
d. The tan value cannot be determined for the dilated triangle.

Answer 1

Try drawing the triangles: the original and the dilated one.

If the tangent of x is 4/3, and then all lengths of the original triangle are doubled, then the tangent of x is 8/6 = 4/3. Thus, B is the correct answer.