Answer:
Step-by-step explanation:
A lamppost, CAB, bent at point A after a storm. The tip of the lamppost touched the ground at point C, as shown below:
2 answers:
The height of the portion AB is 10 divided by cos 50 degrees if the CAB, is bent at point A after a storm. The tip of the lamppost touched the ground at point C.
<h3>What is trigonometry?</h3>Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
From the right-angle triangle:
Let's suppose the height of the portion AB is x ft
We know cos is the ratio of the adjacent to the hypotenuse.
From the figure:
ft
Thus, the height of the portion AB is 10 divided by cos 50 degrees if the CAB, is bent at point A after a storm. The tip of the lamppost touched the ground at point C.
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Part 1. Imagine a clock without the hour hand, When clock strikes 3:35, the minute hand is at 7. When it strikes 3:55, the minute hand is in 11. Each gap between two adjacent digits in the clock measures 30°. This is because a revolution divided by 12 is 360/12 = 30. Then, the angle between the minute hands in the picture is equal to 4(30°) = 120°. Know that π radians is equal to 180°. Converting 120° to radians,
120°(π radians/180°) = (2/3)π or 2.09 radians
Part 2. For this part, we determine the arc length intercepted by the angle 120° because this is the total distance travelled by the tip of the minute hand.
S = rθ, where θ is the angle in radians and r is the radius of the circle represented by the minute hand.
S = (4)(2.09)
S = 8.36 inches
Hence, the tip of the minute hand travelled a total distance of 8.36 inches.
120°(π radians/180°) = (2/3)π or 2.09 radians
Part 2. For this part, we determine the arc length intercepted by the angle 120° because this is the total distance travelled by the tip of the minute hand.
S = rθ, where θ is the angle in radians and r is the radius of the circle represented by the minute hand.
S = (4)(2.09)
S = 8.36 inches
Hence, the tip of the minute hand travelled a total distance of 8.36 inches.