Question

Instructions: Type the correct answer in the box. Round off your answer to the nearest integer. ∠A and ∠C are right angles. m∠p = __ degrees.

Answer 1

Answer:

59°

Step-by-step explanation:

6² + 5² = 61

√61 = 7.810249676

cos(D) = 4 ÷ 7.810249676

4 ÷ 7.810249676 = 0.51214752

cos⁻¹(0.51214752) = 59.19301887

this is rounded down to 59°

Answer 2

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 =

Using the cosine ratio in right triangle DBC

cos p =  =  =  , thus

p =  (  ) ≈ 59°