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Gnesinka [82]
3 years ago
14

Type the correct answer in the box. Round off your answer to the nearest integer.

Mathematics
1 answer:
Mkey [24]3 years ago
6 0

Answer:

∠ p ≈ 59°

Step-by-step explanation:

Using Pythagoras' identity in right triangle ABD to find DB

DB² = 5² + 6² = 25 + 36 = 61 ( take square root of both sides )

DB = \sqrt{61}

---------------------------------------

Using the cosine ratio in right triangle DBC

cos p = \frac{adjacent}{hypotenuse} = \frac{DC}{DB} = \frac{4}{\sqrt{61} } , thus

p = cos^{-1} ( \frac{4}{\sqrt{61} } ) ≈ 59°

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