Geometry: Mensuration, Trigonometry

A pole 6 m high casts a shadow 2√3m long on the ground, then the Sun’s elevation is?

What is the greatest possible area of a triangle with one side of length 7 and another side of length 10?

A rectangular sheet of paper, 10cm long and 8cm wide has squares of side 2cm cut from each of its corner. The sheet is then folded to form a tray of depth 2cm. What is the volume of this tray?

The line perpendicular to y = x - 2 is

The length of two smaller sides of a right angled triangle are 5 cm and 12 cm respectively. The length of the third side is-

A towel, when bleached, was found to have lost 20% of its length and 10% of its breadth. The percentage of decrease in area is:

The area of lawn is 460 m². If the length is 15 percent more than the breadth of the rectangular field. What is the length of the field?

Length of a rectangular office is three times of its width. It costs Tk. 1102.50 for putting carpet on the floor at Tk. 7.50 per square meter. What is the length of the office?

The radius of a circle is increased so that in circumference increased by 5%. The area of the circle will be increased by-

The three sides of a triangle are x + 1, 2x - 1 and 3x + 1 respectively and the perimeter is 25cm. The length of the smallest side is-

What is the angle that is half of its own complement?

In a circle of radius 10 cm. a chord is drawn at a distance of 6 cm from the center. What is the length of the chord in cm?

The volume of a rectangular solid is to be increased by 50% without altering its base. To what extent the height of the solid must be changed.

If the length of a rectangle is increased by 20% and width is decreased by 20%, what is the change in area of the rectangle?

The breadth of a rectangular field is increased by (r + 5)%, and the length decreased by r%. If the area of the field is unchanged, what is the value of r?

If secθ + tanθ = x, then tanθ is

Which is the area of this triangle?

A person rides a bicycle round a circular path of radius 50m. The radius of the wheel of the bicycle in 50cm. The cycle comes to the starting point for the first time in 1 hour. What is the number of revolutions of the wheel in 15 minutes?

The area of a rhombus is 96 cm² and the length of one of the diagonals is 16 cm. The length of the other diagonal is -

The perimeter of a rectangle is 36 cm. If its length is 10 cm, what is its breadth in cm?