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

You are given two angle measurements, 90 and 51.

90 + 51 = 141

180 - 141 = ?

Answer 3

39

Answer 4

Yep, so the missing angle is 39.

Answer 5

Here, to find the side of the opposite, we have to use Sine.

\(\sin 39 = \dfrac{x}{18}\)

\(\sin 39 \approx 0.6293\)

\(0.6293 = \dfrac{x}{18}\)

Multiply 18 to both sides:

\(0.6293 \times 18 = x\)

Answer 6

Can you multiply that?

Answer 7

@EuniceOB97

Answer 8

11.3297

Answer 9

tHE NEXT one pleae the DE=

Answer 10

@iGreen

Answer 11

Right, so our length of one of the legs is 11(it tells you to round to the nearest degree).

Plug it in the Pythagorean Theorem to find the other leg:

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

\(a^2 + 11^2 = 18^2\)

Simplify Exponents:

\(a^2 + 121 = 324\)

Subtract 121 to both sides:

\(a^2 = 203\)

Square both sides:

\(a = \sqrt{203}\)

Can you square that?

Answer 12

@EuniceOB97

Answer 13

14.74

Answer 14

@iGreen

Answer 15

No, check again..

Answer 16

14.24

Answer 17

Yep, that rounds to 14.

So your side lengths are 11 and 14.

Answer 18

Sorry that's 11.33 and 14.24

Answer 19

*14.25

Answer 20

Lol

Answer 21

Lol thank you