Question

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

59

Step-by-step explanation: I got it right so u should too :)

Answer 2

∠ p ≈ 59°

Explanation:

Using Pythagoras' identity in right triangle ABD to find DB

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

DB =
`√(61)`

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

Using the cosine ratio in right triangle DBC

cos p =
`(adjacent)/(hypotenuse)` =
`(DC)/(DB)` =
`(4)/(√(61) )` , thus

p =
`cos^(-1)` (
`(4)/(√(61) )` ) ≈ 59°