Thank you for visiting In a recreation park a children s slide is 27 feet long and makes an angle of 39 degrees with the ground Its top is. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
Each angle on a triangle would add up to 180 degrees. Since a ladder goes straight up, that angle would be 90 degrees. If you add that with the 39 degree angle, you'd get 129. Subtract that from 180 and you have your answer.
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Rewritten by : Jeany
Final answer:
The angle of inclination of the ladder is 56.44 degrees.
Explanation:
To find the angle of inclination of the ladder, we need to consider a right triangle formed by the ladder, the ground, and the slide. The ladder is the hypotenuse of the triangle and is 18 feet long. The slide is the side opposite the angle of 39 degrees, and we need to find the angle between the ladder and the ground.
Using the sine function, we can find the angle of inclination:
sin(angle) = opposite / hypotenuse
sin(angle) = 27 / 18
angle = arcsin(27 / 18)
angle = 56.44 degrees
Therefore, the angle of inclination of the ladder is approximately 56.44 degrees.
