Question

For each triangle, calculate the ratio of the opposite side to the adiacent side to two decimal places. How do they compare?

Answer 1

`Triangle\: 1: } (opposite)/(adjacent) = (16)/(39.6) = \boxed{0.40404\cdots}`

`Triangle\: 2: } (opposite)/(adjacent) = (48)/(118.8) = \boxed{0.40404\cdots}`

Choice C: The ratio is the same for both triangles

Explanation:

`Triangle\: 1: } (opposite)/(adjacent) = (16)/(39.6) = \boxed{0.40404\cdots}`

`Triangle\: 2: } (opposite)/(adjacent) = (48)/(118.8) = \boxed{0.40404\cdots}`

So both ratios are the same. This is also because the ratios represent the tan of the angle that the adjacent side makes with the hypotenuse and this angle of 22° is same in both triangles