Solve the right triangle with a= 1.22 and b= 19.3. Round off the results according to the table below.

Question

asked Jun 20, 2023 140k views

1 Answer

Jontro · Answer 1 · 2023-06-24T21:41:42+0000

see the figure below to better understand the problem

step 1

Find out the value of c

Applying the Pythagorean Theorem

$\begin{gathered} c^2=a^2+b^2 \\ c^2=1.22^2+19.3^2 \\ c=19.34 \end{gathered}$

step 2

Find the measure of angle A

$\begin{gathered} tanA=(1.22)/(19.3) \\ A=3.6^o \end{gathered}$

step 3

Find out the measure of angle B

Remember that

A+B+C=180 degrees

A=3.6

C=90

substitute

3.6+B+90=180

B=180-93.6

B=86.4 degrees

therefore