Question

5 cm
8 cm
Right triangle
Missing angle

Answer 1

Answer:

The missing angles are 31.96° and 57.97°.

Step-by-step explanation:

Here,

                 p= 5 cm

                 b= 8 cm

             angle = 90°

so,

                h= $\sqrt {5^{2} + 8^{2} }$ = 9.43 cm

Now missing angle:

             Cosα = $\frac{b}{h}$ = $\frac{8}{9.43}$

                ∴α = 31.96°

             Cosβ = $\frac{p}{h}$ = $\frac{5}{9.43}$

                ∴ β =  57.97°

Hence the missing angles are 31.96° and 57.97°.