Question

Find the missing side.
Round to the nearest tenth.
For all 4 pics

Answer 1

1st pic) 17.8

2nd pic) 16.8

3rd pic) 9.1

4th pic) 13.5

Explanation:

1st pic:
`cos = (adjacent)/(hypothenuse)`

(write equation) Cos 27 (cos 27 = 0.89) =
`(x)/(20)`

(new equation) 0. 89 =
`(x)/(20)`

(multiply 20 on both sides) 0.89 x 20 =
`(x)/(20)` x 20

(solve) 17.8 = x

2nd pic:
`tan = (adjacentx)/(hypothenuse)`

(write equation) tan 40 (tan 40 = 0.84) =
`(32)/(x)`

(new equation) 0.84 =
`(32)/(x)`

(multiply 32 on both sides) 0.84 x 20 =
`(32)/(x)` x 20

(solve) 16.8 = x

3rd pic:
`cos = (adjacent)/(hypothenuse)`

(write equation) cos 55 (cos 55 = 0.57) =
`(16)/(x)`

(new equation) 0.57 =
`(16)/(x)`

(multiply 16 on both sides) 0.57 x 16 =
`(16)/(x)` x 16

(solve) 9.1 = x

4th pic:
`tan = (adjacentx)/(hypothenuse)`

(write eqaution) tan 42 (tan 42 = 0.90) =
`(x)/(15)`

(new equation) 0.90 =
`(x)/(15)`

(multiply 15 on both sides) 0.90 x 15 =
`(x)/(15)` x 15

(solve) 13.5 = x