Question

Need help with both 18 and 19.

Answer 1

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°