Question

Select all equations that can be used to solve for 0. If you have time, can you please explain how you got the answer

Answer 1

B and D are correct.

Explanation:

First, we find the length of ALL the sides using the Pythagorean Theorem.

16² + b² = 20²

256 + b² = 400

b² = 144

`√(144)` = 12

Now, we know that sine is opp/hyp, cosine is adj/hyp, and tangent is opp/adj.

A is incorrect because that's supposed to be cos. B is correct because that is indeed cos. C is incorrect. D is correct. E and F are incorrect because it's supposed to be sin.

Don't know if any of that made sense. All you need to do is remember the difference between sine, cosine, and tangent.

Answer 2

The answer is B and D.

Explanation:

Length of ladder AC = 20 feet

Height of the highest point of the ladder from ground AB = 16 ft

By Pythagoras theorem,

AC² = BC² + AB²

BC² = AC² - AB²

BC = √(20)^2-(16)^2

= √400-256

= √144

= 12

Now, Sinθ = opposite side/hypotenuse = AB/AC

= 16/20

Cosθ = adjacent side/hypotenuse = BC/AC

= 12/20

Therefore, A and D are the correct options.

You're very welcome! ;)