Question

A weather balloon is 529 meters above the ground. Two weather stations, A and B, monitor the balloon’s progress. Compare the measures of the different angles of elevation and depression that are labeled in the diagram. Which statements are true? Check all that apply. x > y v > x w = y y < v v = w x < w

Answer 1

Answer: It's A, C, and D.

Step-by-step explanation:

Answer 2

Answer:

Correct choices are A, C and D

Step-by-step explanation:

Consider two right triangles:

• first with legs h=529 m and 229 m;
• second with legs h=529 m and 347 m.

Then

$\tan x=\dfrac{529}{229},\\ \\\tan y= \dfrac{529}{347}.$

Since

$\dfrac{529}{229}> \dfrac{529}{347},$

then $\tan x>\tan y\Rightarrow x>y$ (option A is true).

You are given two parallel lines. Angles x and v and y and w are alternate interior angles, then x=v, y=w. This means that option B is false and option C is true. Option D is also true, because

$x>y \text{ and } x=v \text{ gives that } v>y$

and option E is false, because

$x>y \text{ and } y=w \text{ gives that } x>w.$