Question

Ben thinks that the slope ratio for this triangle is 7/10. Carlissa thinks the ratio is 10/7 Who is correct? Explain your thinking fully.

Answer 1

Both answers are correct, depending on the angle taken as reference

Explanation:

we know that

In a right triangle

The slope ratio of the triangle is equal to the function tangent

The function tangent in a right triangle is equal to the opposite side to the angle divided by the adjacent side to the angle

so

`tan(35)=(7)/(10)` -----> Ben's ratio

and

`tan(55)=(10)/(7)` ------> Carlissa's ratio

therefore

The slope will depend on the angle taken as a reference

so

Both answers are correct, depending on the angle taken as reference.