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irinina [24]
4 years ago
7

Does anybody know how to determine the angle again? of Q.B

Mathematics
1 answer:
Nastasia [14]4 years ago
7 0

Answer:

Therefore the measur angle ACB

m\angle ACB=61.93\°

Step-by-step explanation:

Given:

ΔABC is a right Triangle at ∠A = 90°

AB = 15    ....Side Opposite to ∠ACB

AC = 8     ....Side Adjacent to ∠ACB

To Find:

m∠ACB = ?

Solution:

In Right Angle Triangle ABC, Tangent Identity we have

\tan (\angle ACB) = \dfrac{\textrm{side opposite to angle ACB}}{\textrm{side adjacent to angle ACB}}

Substituting the values we get

\tan (\angle ACB) = \dfrac{AB}{AC}=\dfrac{15}{8}=1.875\\\\\angle ACB=\tan^{-1}(1.875)\\m\angle ACB=61.93\°

Therefore the measur angle ACB

m\angle ACB=61.93\°

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