The factors of 48 include 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48. The number 48 is divisible by each of the factors without any remainder being left over.
Answer:
x = 40
m∠Q = 105°
m∠R = 40°
m∠P = 35°
Step-by-step explanation:
Sum of Angles in a Triangle: 180°
Step 1: Define variables
m∠Q = 2x + 25
m∠R = x
m∠P = x - 5
Step 2: Set up equation
m∠Q + m∠R + m∠P = 180°
2x + 25 + x + x - 5 = 180°
Step 3: Solve for <em>x</em>
4x + 20 = 180
4x = 160
x = 40
Step 4: Solve for measure angles.
m∠Q = 2x + 25
m∠Q = 2(40) + 25 = 80 + 25 = 105°
m∠R = x
m∠R = 40°
m∠P = x - 5
m∠P = 40 - 5 = 35°
First find the vertical distance from Charlie to the plane by subtracting the altitude of Charlie's eyes from the altitude of the plane: 1700-5.2=1694.8 ft. Let d be the distance from Charlie to the plane. Use the trignometric relationship in the right triangle: sin32=1694.8/d. d=3198 ft.