What is the length of the string of a kite flying 100m above the ground with the elevation of 60o?

What is the length of the string of a kite flying 100m above the ground with the elevation of 60o?

A kite is flying at 100m above the ground with the elevation of 60°. Let x be the length of the string of kite. In △ABC, ⇒sin60∘=ACAB ⇒√32=100x ⇒x=200√3. Hence, the answer is 200√3m.

When a kite is flying at a height of 60 m above the ground the string attached to the kite is temporary?

Summary: If a kite is flying at a height of 60m above the ground, the string attached to the kite is temporarily tied to a point on the ground and the inclination of the string with the ground is 60°, then the length of the string, assuming that there is no slack in the string is 40√3 m.

What is the distance formula for a kite?

We’re going to use the distance formula, which is distance equals the square root of x_2 minus x_1, squared, plus, y_2 minus y_1, squared, (and I’ve already put the labels on all of my points) and it doesn’t matter which point you call x_1, y_1, or x_2, y_2, as long as you’re consistent.

How do you calculate kites?

The area of a kite is half the product of the lengths of its diagonals. The formula of area of a kite is given as Area = ½ × (d)1 × (d)2. Here (d)1 and (d)2 are long and short diagonals of a kite. The area of any kite let’s say ABCD with diagonal AC and BD is given as ½ × AC × BD.

What is the formula for the area of a kite using base and height?

Area of a Kite Formula The green diagonal labeled p divides the kite into two equal triangles both with base p and height q/2. Using base p and height q/2, the area of each triangle is this. The area of the kite then is two times the area of the one triangle.

What is the diagonal rule of a kite?

A quadrilateral is a kite if and only if any one of the following conditions is true: The four sides can be split into two pairs of adjacent equal-length sides. One diagonal crosses the midpoint of the other diagonal at a right angle, forming its perpendicular bisector.

What is the law of motion of a kite?

The relative strength of the forces determines the motion of the kite as described by Newton’s laws of motion. If the wind velocity increases, the lift increases and exceeds the weight of the kite. The kite then moves vertically and the tension force increases because of increased drag.

What are the 7 properties of a kite?

• Two pairs of adjacent sides are equal.
• One pair of opposite angles are equal.
• The diagonals of a kite are perpendicular to each other.
• The longer diagonal of the kite bisects the shorter diagonal.
• The area of a kite is equal to half of the product of the length of its diagonals.

What is the area of a kite without height?

To find the area of a kite, you need to know the lengths of the kite’s two diagonals (the lines that cross through the middle of the kite). Multiply the lengths of the two diagonals together, and then divide by 2. This will give you the area of the kite.

How is kite formula derived?

Derivation of Area of Kite Formula It is known that the longer diagonal of a kite bisects the shorter diagonal at right angles, forming right triangles AOB and BOC. Hence, AO=OC=AC2=p2. Applying the formula for the area of a triangle, we can calculate the areas of triangles ABD and BCD.

Which angle is equal in kite?

A kite is a quadrilateral that has 2 pairs of equal-length sides and these sides are adjacent to each other. Properties: The two angles are equal where the unequal sides meet.

What is an example of a kite?

Squares and rhombuses are always kites. Indeed, in a square and in a rhombus, the four sides are congruent, so, in particular, we have two pairs of equal-length adjacent sides.

What is the formula to find the missing angle of a kite?

Using this rule, we can find the missing angle of a kite by adding up the three given angles, and subtracting the total from 360°. For example, consider the kite shown. We see that the three given angles are 80°, 110°, and 110°. To find the missing angle, we add these given angles up, then subtract the sum from 360°.

How much string is out if a kite is 100 feet above the ground and the string makes an angle of 65 with the ground?

Let the length of string be x. It is given that the kite is 100 feet above the ground and the string makes an angle of 65° with the ground. Therefore the length of the string is 110.3 ft.

What is the height of the kite if the string of a kite is 100 m long and it makes an angle of 60 from horizontal?

It is given that the string of a kite is 100 m long and it makes an angle of 60∘ with the horizontal. Let h be the height of the kite. Then, in △ACB, sin 60°=ABAC=h100 ⇒ √32=h100 ⇒ h=√3×1002 ⇒ h=50√3m ∴ Height of the kite is 50√3m.

What is the height of the kite if the string of a kite is 100m long and it makes an angle of 60 with the horizontal find

⇒h=50√3 m.

What is the greatest height of a kite attached to a 100 m long string?

A kite is attached to a 100 m long string, then the greatest height reached by the kite when its string makes an angle of 60∘ with the level ground is 86.6 m.