# Math Solving Problems With Answers 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.

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.

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Here AB represents height of the balloon from the ground.

In the right triangle ABC the side which is opposite to angle θ 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). Tan θ = 15/8 -------- Here AB represents height of the airplane from the ground.

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.

Now we need to find the length of the side AB.tanθ = Opposite side/Adjacent sidetan 60° = AB/BC√3 = AB/50√3 x 50 = ABAB = 50√3Approximate value of √3 is 1.732AB = 50 (1.732) AB = 86.6 m So, the height of the building is 86.6 m.

Here AB represents height of the wall, BC represents the distance between the wall and the foot of the ladder and AC represents the length of the ladder.

At the same moment, a passenger car and a truck start moving towards each other from different towns. If the car drives 5 km/hr faster than the truck, what are their speeds?

Problem 9The first year, two cows produced 8100 litres of milk.

The second year their production increased by 15% and 10% respectively, and the total amount of milk increased to 9100 litres a year.

How many litres were milked from each cow each year?

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