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A ladder 15m long just reaches the top of vertical wall. If the ladder makes angle of 60 degree with the wall find the height of wall?
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Problem Statement:
A ladder 15m long just reaches the top of vertical wall. If the ladder makes angle of 60 degree with the wall find the height of wall?
Solution:
Let's start by drawing a diagram of the problem:
Here, we can see that the ladder is leaning against the wall at an angle of 60 degrees. We need to find out the height of the wall.
Step 1: Identify the Right Triangle
We can see that there is a right triangle formed by the ladder, the wall, and the ground. Let's label the sides of the triangle:
- The hypotenuse of the triangle is the ladder, which is 15m long.
- The opposite side of the triangle is the height of the wall, which we need to find.
- The adjacent side of the triangle is the distance between the ladder and the wall.
Step 2: Apply Trigonometric Function
We can use the trigonometric function sin to find the length of the opposite side of the triangle:
sin(60) = opposite/hypotenuse
sin(60) = h/15
h = 15 * sin(60)
h = 12.99m
Step 3: Answer
Therefore, the height of the wall is 12.99m.
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A ladder 15m long just reaches the top of vertical wall. If the ladder makes angle of 60 degree with the wall find the height of wall?
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A ladder 15m long just reaches the top of vertical wall. If the ladder makes angle of 60 degree with the wall find the height of wall? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A ladder 15m long just reaches the top of vertical wall. If the ladder makes angle of 60 degree with the wall find the height of wall? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A ladder 15m long just reaches the top of vertical wall. If the ladder makes angle of 60 degree with the wall find the height of wall?.
A ladder 15m long just reaches the top of vertical wall. If the ladder makes angle of 60 degree with the wall find the height of wall? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A ladder 15m long just reaches the top of vertical wall. If the ladder makes angle of 60 degree with the wall find the height of wall? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A ladder 15m long just reaches the top of vertical wall. If the ladder makes angle of 60 degree with the wall find the height of wall?.
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