Question

Use a calculator and inverse trigonometric ratios to find the unknown side lengths and angle measures. Round lengths to the nearest hundredth and angle measures to the nearest degree. (Show all work to support each response.)

Answer 1

@iGreen

Answer 2

Can you please tell me how I work this out I do not need the answers

Answer 3

Please sir @igreen

Answer 4

Sorry, my idiot brother messed up what I was writing. Hold on, let me re-write it.

Answer 5

Use the Pythagorean Theorem, we use it to find lengths of right triangles.

\(a^2 + b^2 = c^2\)

Where a & b are the sides and c is the hypotenuse.

Plug in what we know:

\(a^2 + 4^2 = 5^2\)

Simplify exponents:

\(a^2 + 16 = 25\)

Subtract 16 to both sides:

\(a^2 = 9\)

Square both sides:

\(a = \sqrt 9\)

Can you square that? @EuniceOB97

Answer 6

Yes is it 3? @iGreen

Answer 7

Yep, so the missing side length is 3.

Answer 8

THank you so much

Answer 9

Can you please help me with the next two I need it for graduation

Answer 10

Hold on, I still have to help you find the angle measurements, right?

Answer 11

YES you right thank you

Answer 12

\(\tan C = \dfrac{4}{3}\)

Use the inverse tangent function:

\(\tan^{-1}(\tan C)=\tan^{-1}(\dfrac{4}{3})\)

\(C = \tan^{-1}(\dfrac{3}{4})\)

\(C \approx 53º\)

So that's the angle measurement of Angle C.

Now to find the last angle measurement, we can add the two angles we have already and subtract that by 180, because a triangle's sides add up to 180 degrees.

\(53º + 90º = 143º\)

\(180º - 143º =~?\)

@EuniceOB97

Answer 13

If you see those question marks, reload the page.

Answer 14

Thank you so much would you mind doing two others ?

Answer 15

Can you subtract 180 - 143?

Answer 16

Sure, just close this one and open a new one.