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Mariana [72]
3 years ago
6

Help me please ASAP!!

Mathematics
1 answer:
masha68 [24]3 years ago
3 0

Answer:

The measure of angle A is:

m ∠ A = 53.13°

Step-by-step explanation:

Given

The length AC = 3 cm

The length BC = 4 cm

To determine

m ∠ A = ?

Using the trigonometric ratio

tan A = opposite / adjacent

From the right-angled triangle, as shown, it is clear that:

  • The opposite of m ∠ A is the side BC = 4 cm
  • The adjacent of m ∠ A is the side AC = 3 cm

Thus, substitute opposite = 4 and adjacent = 3

tan A = 4 / 3

A = arctan (4/3)

A = 53.13°

Therefore, the measure of angle A is:

m ∠ A = 53.13°

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