Question

5 cm
8 cm
Right triangle
Missing angle

Answer 1

The missing angles are 31.96° and 57.97°.

Explanation:

Here,

p= 5 cm

b= 8 cm

angle = 90°

so,

h=
`\sqrt {5^(2) + 8^(2) }` = 9.43 cm

Now missing angle:

Cosα =
`(b)/(h)` =
`(8)/(9.43)`

∴α = 31.96°

Cosβ =
`(p)/(h)` =
`(5)/(9.43)`

∴ β = 57.97°

Hence the missing angles are 31.96° and 57.97°.