Question

Solve the right triangle. Round your answers to the nearest tenth.

Answer 1

Answer:

Step-by-step explanation:

The sum of the three angles in a triangle is $\ang{180}$.

We know that a right angle is $\ang{90}$, and we are given another angle that is $\ang{50}$, so that means that angle $B$ is:

$B + 50 + 90 = 180$

$B + 140 = 180$

$B = 40$

To find side length $a$, we can use the $sin$ function:

$sin(\ang{50}) = \frac{a}{20}$

$20 * 0.766 = a$

$a = 15.32$

To find side length $b$, we can again use the $sin$ function:

$sin(\ang{40}) = \frac{b}{20}$

$20 * 0.643= b$

$b = 12.86$