The brace for a certain type of mailbox forms a 30°-60°-90° triangle with the side opposite the 30° angle 12 inches in length. What is the length of the side opposite the 60° angle in the triangle...

An umbrella is made by stitching 10 triangular pieces, of cloth of two different colors, each piece measuring 20 cm long, 50 cm and 50 cm. How much cloth of each color is required for the umbrella...

I think this has to do with using the pythagorean theorm, but I am not sure how I would solve it with only 1 value (24 ft). The length of the ladder would be the hypotenuse, which is why I think it...

Find the cost of the paper for the walls of the room if each piece of paper is 40 cm wide and 60 cm long : the room is 6 m long, 4 m wide, 3 m high and the cost of paper is Rs 1.40 per piece; allow...

A floor which measures 15 m*8 m is to be laid with tiles measuring 50 cm*25 cm. Find the number of tiles required. Further, if a carpet is laid on the floor so that a space of 1 m exists between its...

An open tin box, 21 cm long, 9 cm wide, 8 cm high, is fitted with a thin lid which overlaps to a depth of 1 cm all round. What is the total area of tin sheeting used for the box and the lid?

An ice cream cone is shaped like a hemisphere on top of a cone. If the radius of the base of the cone is 3.5 cm and the height is 8.5 cm, find the volume of the ice cream in and on top of the cone...

In the problem it shows a box with a height of 8 cm, a length of 9cm, and a width of 12 cm. Running through the middle of the inside of the box is a dashed line. What is the length of the...

Finding the area of a triangle is straightforward if you know the length of the base and the height of the triangle. But is it possible to find the area of a triangle if you know only the coordinates...

A box with an open top has a square base and four sides of equal height. The volume of the box is 45ft^2. The height is 2 ft greater then both the length and the width. if the surface area is 69ft...

Sarah is walking around the lake and stops to take measurements of the water fountain. She is at a bearing of 230 degrees from the fountain. The angle of elevation at this point is 23 degrees from...