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rosijanka [135]

3 years ago

15

Could somebody help me with this please?

1 answer:

katrin [286]3 years ago

8 0

Answer:

1) x ≅ 51.34°

2) y ≅ 38.66°

Step-by-step explanation:

In the right triangle given in the figure

∵ The triangle has a right angle

∴ Angles x and y are acute angles and the sum of their measures is 90°

→ By using the trigonometry function tan

∵ tan(x) = opposite side to x/adjacent side to x

∵ The opposite side to x = 10

∵ The adjacent side to x = 8

→ Substitute them in the rule above

∴ tan(x) = $\frac{10}{8}$ = $\frac{5}{4}$

→ Use the inverse of tan to find x

∵ x = $tan^{-1}$ ( $\frac{5}{4}$ )

∴ x = 51.34019175

∴ x ≅ 51.34°

∵ x + y = 90°

∴ 51.34 + y = 90

→ Subtract 51.34 from both sides

∴ y ≅ 38.66°

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Step-by-step explanation:

The diagram illustrating the question is shown on the first uploaded image

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