## Distance of the foot of the ladder from the building

A ladder 25m long reaches a window of a building 20m above the ground. Determine the distance of the foot of the ladder from the building.

## Find the value of ‘θ’

If sin 5θ = cos 4θ, where 5 θ and 4 θ are acute angles, find the value of ‘θ’.

## The length of the ladder

A ladder is placed in such a way that its foot is at a distance of 5m from a wall and its tip reaches a window 12m above the ground. Determine the length of the ladder.

## The most preferable shirt size

A shopkeeper recorded the data regarding the number of shirts sold in the month of September at its factory outlet. The data are given below in table. Study the data and suggest him, the production of which shirt size should he increased to earn the profit? Which measure do you use to find the most preferable shirt size? Size 85 cm 90 cm 95 cm 100 cm Total Frequency 100 600 500 300 1600 a) 85 cm, Mean b) 90 cm, Mode c) 95 cm, Median d) 92 cm, Mode

## A position on line equidistance from both ends

Two friends Tina and Mina were playing a game. Tina drew a line and marked 4 at one end and 10 at other end. She asked Mina to stand at a position on line which is equidistance from both ends. Where should Mina stand to satisfy Tina’s condition?

## Simultaneous equations have infinitely many solution

Find the value of k for which the given simultaneous equations have infinitely many solution: kx+3y =8; 6x+9y=24.

## The target is not hit by him

A person is known to hit the target in 3 shots out of 4 shots. What are the chances that the target is not hit by him?

## Statistics – Range of Integers

Statistics – Range of Integers

## The eccentricity of the conjugate hyperbola

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