4 years ago

Please someone help me

Mathematics

1 answer:

elixir [45]4 years ago

7 0

I got 1/2 for my answer

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3 years ago

Question mark 1: Match the triangle to correct function and answer

postnew [5]

Answer:

Triangle 1 - $m\angle A = 58^{\circ}$ , hypotenuse = 16

$x \approx 8.479$

Triangle 2 - $m \angle A = 44^{\circ}$ , adjacent leg = 18

$x \approx 17.382$

Triangle 3 - $m\angle A = 49^{\circ}$ , opposite leg = 12

$x \approx 15.900$

Step-by-step explanation:

Each triangle is solved by means of trigonometric relations:

Triangle 1 - $m\angle A = 58^{\circ}$ , hypotenuse = 16

$\cos 58^{\circ} = \frac{x}{16}$

$x = 16\cdot \cos 58^{\circ}$

$x \approx 8.479$

Triangle 2 - $m \angle A = 44^{\circ}$ , adjacent leg = 18

$\tan 44^{\circ} = \frac{x}{18}$

$x = 18\cdot \tan 44^{\circ}$

$x \approx 17.382$

Triangle 3 - $m\angle A = 49^{\circ}$ , opposite leg = 12

$\sin 49^{\circ} = \frac{12}{x}$

$x = \frac{12}{\sin 49^{\circ}}$

$x \approx 15.900$

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3 years ago