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.

Question

asked Dec 13, 2024 206k views

1 Answer

TidB · Answer 1 · 2024-12-19T19:06:57+0000

Answer:

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.