Question

Please help me with this question

Answer 1

a. 6.71

b. 4.24

c. 8.66

Explanation:

a uses the Pythagorean theorem that states
`a^(2) + b^(2) = c^(2)`

therefore
`6^(2) + x^(2) = 9^(2) \\`

81 - 36 =
`x^(2)`

45 =
`x^(2)`

`√(45) = x`

6.71 = x

b also uses pythagorean theorem. the lines on the 2 sides of the triangles indicates that they are equal. Therefore
`x^(2) +x^(2) =6^(2)`

36 / 2 =
`x^(2)`

18 =
`x^(2)`

`√(18) = x`

4.24 = x

c uses trigonometry. It is tan because the opposite and the adjacent lengths are provided.

the equation to find an unknown length is tan(angle) =
`(o)/(a)`

replace the known angles and you get

tan(60) =
`(x)/(5)`

then solve for x

5 x tan(60) = x

8.66 = x

Hope this helps :)