Question

Use special right triangles to solve for the value of x.

Answer 1

Answer: 7

Explanation:

step 1- the opposite of the reference angle is 7 and you need to find the adjacent so you'd use tang(o/a).

step 2- equation. tan(48)/1=7/x

step 3- multiple. tan(48)x=7

step 4- solve for tan. tan(48)=1.20012724312.

step 5-substitute and solve. 1.20012724312x/1.20012724312=7/1.20012724312

step 6- divide . x= 7.

( round 1.20012724312)

Answer 2

x = 7
`√(2)`

Explanation:

Using the tangent ratio in the right triangle and the exact value

tan45° =
`(1)/(√(2) )`

tan45° =
`(opposite)/(adjacent)` =
`(7)/(x)`

Multiply both sides by x

x × tan45° = 7, that is

x ×
`(1)/(√(2) )` = 7

Multiply both sides by
`√(2)`

x = 7
`√(2)`