Question

The Tangent Ratio Quick Check
1 of 51 of 5 Items
Question
Use the image to answer the question.



Use the tangent ratio to solve for missing side length AB
𝐴
𝐵
of the right triangle.

(1 point)
Responses

side AB=97.03
𝐴
𝐵
=
97.03

side upper A upper B equals 97.03

side AB=6.97
𝐴
𝐵
=
6.97

side upper A upper B equals 6.97

side AB=30.75
𝐴
𝐵
=
30.75

side upper A upper B equals 30.75

side AB=7.32
𝐴
𝐵
=
7.32

Answer 1

I can’t see the triangle image — could you either upload it or tell me the given angle measure and the length of the known side and which side that known length is (opposite, adjacent, or hypotenuse)? With that I’ll compute AB and pick the correct choice.

Meanwhile, here’s how to solve it with the tangent ratio so you can check quickly:

- Tangent definition: tan(θ) = (opposite) / (adjacent).
- If AB is the opposite side and you know the adjacent side (call it a): AB = a * tan(θ).
- If AB is the adjacent side and you know the opposite side (call it o): AB = o / tan(θ).

Use your calculator in degree mode, compute the tangent of the given angle, then use one of the formulas above. Round your result to two decimal places and match it to one of the choices: 97.03, 6.97, 30.75, or 7.32.

If you post the angle and known side (and which side it is), I’ll compute AB and indicate the correct choice.