# Math Solving Problems With Answers

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Solution: Let x be the amount of milk the first cow produced during the first year.

Then the second cow produced $(8100 - x)$ litres of milk that year.

That is, we have to find the length of θ = Opposite side/Adjacent sidetan60° = AB/BC√3 = 6/BCBC = 6/√3BC = (6/√3) x (√3/√3)BC = (6√3)/3BC = 2√3Approximate value of √3 is 1.732BC = 2 (1.732)BC = 3.464 m Here AB represents height of kite from the ground, BC represents the distance of kite from the point of observation.

In the right triangle ABC the side which is opposite to angle 60 degree is known as opposite side (AB), the side which is opposite to 90 degree is called hypotenuse side (AC) and remaining side is called adjacent side (BC). Sin θ = Opposite side/Hypotenuse sidesinθ = AB/ACsin 60° = AB/100√3/2 = AB/100(√3/2) x 100 = ABAB = 50 √3 m So, the height of kite from the ground 50 √3 m.

sin θ = Opposite side/Hypotenuse side sin θ = AB/ACsin 60° = AB/200√3/2 = AB/200AB = (√3/2) x 200AB = 100√3Approximate value of √3 is 1.732AB = 100 (1.732)AB = 173.2 m So, the height of the balloon from the ground is 173.2 m.

## Vasant Panchami Festival Essay In English - Math Solving Problems With Answers

Problem 1 A salesman sold twice as much pears in the afternoon than in the morning. Then Mary and Lucy picked x$and$x 2$, respectively.In the right triangle ABC the side which is opposite to angle 50 degree is known as opposite side (AB), the side which is opposite to 90 degree is called hypotenuse side (AC) and remaining side is called adjacent side (BC). From the figure given above, AB stands for the height of the airplane above the ground.sin θ = Opposite side/Hypotenuse sidesin 50° = AB/AC0.7660 = h/120.7660 x 12 = hh = 9.192 km So, the height of the airplane above the ground is 9.192 km.A balloon is connected to a meteorological station by a cable of length 200 m inclined at 60 degree angle . (Imagine that there is no slack in the cable) Here, AB represents height of the building, BC represents distance of the building from the point of observation.In the right triangle ABC, the side which is opposite to the angle 60 degree is known as opposite side (AB), the side which is opposite to 90 degree is called hypotenuse side (AC) and the remaining side is called adjacent side (BC).Then she has$x-\frac\cdot x=\frac\cdot x$pages left.$\frac\cdot x-\frac\cdot x=90\frac\cdot x=90x=270\$So the book is 270 pages long.In the right triangle ABC, the side which is opposite to angle 60 degree is known as opposite side (AB), the side which is opposite to 90 degree is called hypotenuse side (AC) and remaining side is called adjacent side (BC).Now, we need to find the distance between foot of the ladder and the wall.In the right triangle ABC the side which is opposite to the angle A is known as opposite side (BC), the side which is opposite to 90 degree is called hypotenuse side (AC) and remaining side is called adjacent side (AB).Now we need to find the height of the light house (BC)A = Opposite side/Adjacent sidetan A = BC/ABGiven : tan A = 3/43/4 = BC/403 x 40 = BC x 4BC = (3 x 40)/4BC = (3 x 10)BC = 30 m So, the height of the light house is 30 m.

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