Question

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

Answer 1

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 = $\sqrt{61}$

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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°