Question

Need help with both 18 and 19.

Answer 1

18. Answer: D

Step-by-step explanation:

First, find the measure of the missing angle.

65° + 57° + x = 180°

      122° + x = 180°

                x = 58°

Next, match up the angles with the opposite sides:

65° ⇄ Swim

58° ⇄ Bike

57° ⇄ Run

Lastly, put them in order from least to greatest:

   57° < 58° < 65°

⇒ Run < Bike < Swim

The only multiple choice option that is correct is Bike > Run.

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19. Answer: 22.3°

Step-by-step explanation:

$sin\theta = \dfrac{opposite}{hypotenuse}$

$sinD= \dfrac{EF}{DE}$

$sinD= \dfrac{19}{50}$

$D= sin^{-1}\bigg(\dfrac{19}{50}\bigg)$

D = 22.3°