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9 votes
9 votes
Round your answers to the nearest tenth.

B
a
15
b
47°
B =
a =
b =

Round your answers to the nearest tenth. B a 15 b 47° B = a = b =-example-1
User Mandeep
by
3.0k points

1 Answer

17 votes
17 votes

Answer:

B = 43°

a = 11.0

b = 10.2

Explanation:

The relationship between side lengths and trig functions in a right triangle is summarized in the mnemonic SOH CAH TOA. It tells you, for example, ...

Sin = Opposite/Hypotenuse

Cos = Adjacent/Hypotenuse

__

Applied to this triangle, the unknown sides can be found from ...

sin(47°) = a/15

a = 15·sin(47°) ≈ 11.0

and

cos(47°) = b/15

b = 15·cos(47°) ≈ 10.2

__

The second acute angle in a right triangle is the complement of the first:

B = 90° -47° = 43°

User Alexmherrmann
by
2.8k points