Question

Picture included!!! Please help! Suppose a = 10 and b = 24. Give the value of each of the following. Give answers as integers or rounded to 2 decimal places as appropriate.

Answer 1

A = 22.62°

B = 67.38°

c = 26

Explanation:

`a^2+b^2=c^2\\10^2+24^2=c^2\\100+576=c^2\\676=c^2\\26=c`

`\sin A=\frac{\text{Opposite}}{\text{Hypotenuse}}=(10)/(26)\\\\A=\sin^(-1)((10)/(26))\\\\A\approx22.62^\circ`<-- You can also use other trig ratios

`B=180^\circ-(90^\circ+22.62^\circ)=180^\circ-112.62^\circ=67.38^\circ`

There's no specific order in how to solve for A and B, so there may be more than one way to approach these solutions.