Need help with both 18 and 19.

Question

asked Mar 11, 2019 176k views

1 Answer

Agilob · Answer 1 · 2019-03-15T09:40:40+0000

18. Answer: D

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°

Explanation:

$sin\theta = (opposite)/(hypotenuse)$

sinD= (EF)/(DE)

sinD= (19)/(50)

$D= sin^(-1)\bigg((19)/(50)\bigg)$

D = 22.3°