The length of a string between the kite and a point on the ground is 9...
Answer 120m de rakha hai fir kya karna hai. Jo karna hai subh ko bataunga ok..
The length of a string between the kite and a point on the ground is 9...
Problem:
The length of a string between the kite and a point on the ground is 90 m. If the string makes an angle with the level ground and sinA = 3/5. Find the height of the kite.
Solution:
Let's break down the problem and solve it step by step.
Step 1: Identify the given information
We are given the length of the string (90 m) and the sine of the angle (sinA = 3/5).
Step 2: Identify the required information
We need to find the height of the kite.
Step 3: Understand the problem and visualize
In this problem, we have a kite in the air connected to a point on the ground by a string. The string makes an angle with the level ground. We need to find the height of the kite, which is the vertical distance from the ground to the kite.
Step 4: Apply trigonometry
We can use the sine function to find the height of the kite. The sine of an angle is defined as the ratio of the opposite side to the hypotenuse in a right triangle.
In this case, the opposite side is the height of the kite, and the hypotenuse is the length of the string. So we can write:
sinA = opposite/hypotenuse
3/5 = height/90
Step 5: Solve for the height
To find the height, we can cross-multiply and solve the equation:
3 * 90 = 5 * height
270 = 5 * height
height = 270/5
height = 54
Step 6: Check the answer
We have found that the height of the kite is 54 m. But the given answer is 120 m. Let's check our solution.
We made a mistake in Step 5. We forgot to multiply 5 by 90. So the correct equation should be:
3 * 90 = 5 * height
270 = 450
height = 270/5
height = 54
Therefore, the height of the kite is 54 m, not 120 m.
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