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

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

\(a^2 + 15^2 = 17^2\)

Simplify Exponents:

\(a^2 + 225 = 289\)

Subtract 225 to both sides:

\(a^2 = 64\)

Square both sides:

\(a = \sqrt{64}\)

Can you square that?

Answer 3

Yes 8

Answer 4

Yep, so your missing side length is 8.

Answer 5

We have to use Sine again.

\(\sin (x) = \dfrac{8}{17}\)

Can you divide 8 / 17?

Answer 6

@EuniceOB97

Answer 7

Yes 0.47

Answer 8

@iGreen

Answer 9

Yep, so that gives us:

\(\sin(x) = 0.47\)

\(x = \sin^{-1}(0.47)\)

\(x \approx 23\)

So the length of that angle is 23.

To find the last angle, add the two angles we have and subtract it by 180.

90 + 23 = 113

180 - 113 = ?

Answer 10

67

Answer 11

Yep, so the angles are 90, 23, and 67.

Answer 12

But can you help me find m angle H

Answer 13

Thnak you for all your great work you are truly a awesome person

Answer 14

and also m angle I