Question

Please explain the steps and how I can find the values!!

Answer 1

a = 4.949

b = 4.949

c = 7

Explanation:

c ( hypothenuse ) = 7

to find a, use sine

Sine =
`(opposite)/(hypothenuse\\)`

Sine 45 =
`(a)/(7)`

sine of 45 is 0.707

0.707 =
`(a)/(7)`

multiplt 7 on both sides:

0.707 x 7 =
`(a)/(7)` x 7

a = 4.949

to find b, use cosine

Cosine =
`(adjacent)/(hypothenuse)`

Cos 45 =
`(b)/(7)`

cos of 45 is 0.707

0.707 =
`(b)/(7)`

multiply 7 on both sides:

0.707 x 7 =
`(b)/(7)` x 7

b = 4.949