Question

Choose the triangle with x equal to 17.

Answer 1

The correct answer choice would be "B"

Explanation:

Answer 2

For this case, we must find the triangle whose value of x is given by 17.

In all three cases, the value of the variable "x" is given by:

`Tangent (angle) = \frac {leg \ opposite} {leg \ adjacent}\\Where,\ x = leg \ opposite\\x = Tangent (angle) * (leg \ adjacent)`

Triangle 1:

`x = Tangent (50) * (12)\\x = 1.19175359 * 12\\x = 14.30104308`

Triangle 2:

`x = Tangent (80) * (3)\\x = 5.67128182 * 3\\x = 17.01384546`

Triangle 3:

`x = Tangent (60) * (4)\\x = 1.73205081 * 4\\x = 6.92820324`

Thus, the triangle whose value of x is 17 is triangle 2.

Answer:

Option b