Answer:
∠ C = 58°
Step-by-step explanation:
DB is a perpendicular bisector , so
∠ ADC = 2 × 32° = 64°
Since AD = CD then Δ ACD is isosceles with the base angle congruent , then
∠ C =
=
= 58°
Answer: The top of the Crane is 31 feet above the ground.
Step-by-step explanation:
When it is fully extended, the crane arm forms a 30 degree angle with a line parallel to the ground. This means that a right angle triangle is formed. The length of the Crane's arm represents the hypotenuse. The horizontal distance represents the adjacent side of the right angle triangle. The distance, h of the top of the Crane from the ground represents the opposite side of the right angle triangle.
To determine h, we would apply
the Sine trigonometric ratio.
Sin θ, = opposite side/hypotenuse. Therefore,
Sin 30 = h/62
h = 62Sin30
h = 62 × 0.5
h = 31 feet
Answer:
You could use one quarter and two dimes... that will equal $0.45
(I'm not sure what you are asking for)