A utility man is to replace a busted lamp in one of the street lamps in a public park. If the ladder he uses makes an angle of 50° to the lamp post that is 5 meters high, how long is the ladder?
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Questions:
A utility man is to replace a busted lamp in one of the street lamps in a public park. If the ladder he uses makes an angle of 50° to the lamp post that is 5 meters high, how long is the ladder?
Answer:
Based on the given conditions, formulate 4 ÷ sin 50⁰
Calculate the approximate value:
5 0.766045
Calculate: 6.52072
Get the result: 6.52072
Answer: 6.52072
L= 6.52072 meters
Hope it helps
#reliable answer
We know that the ladder makes an angle of 50° to the lamp post, and that the lamp post is 5 meters high. This forms a right-angled triangle, where the ladder is the hypotenuse, and the lamp post is the opposite side to the angle of 50°.
We can use the trigonometric function "sine" to find the length of the ladder:
sin(50°) = opposite/hypotenuse
Rearranging this equation, we get:
hypotenuse = opposite / sin(50°)
We know that the opposite side (the height of the lamp post) is 5 meters. So, we can substitute this value into the equation:
L = 5 / sin(50°)
Using a calculator, we can find that sin(50°) is approximately 0.766. So, we can substitute this value into the equation:
L = 5 / 0.766
L = 6.53 meters (rounded to two decimal places)
Therefore, the length of the ladder is approximately 6.53 meters.