Unit conversion practice problems - page 5 of 121
Number of problems found: 2411
- A rectangular 11
A rectangular plot of land has sides that are 1200m long and 900m wide. If a hectare (10000m²) of the land costs R5200,00, the cost of the entire plot is:
- A park on map
A park has an area of ⅙ mi². On a map, the park has an area of 1 ¼ cm². On the map, how many square centimeters represent 1 mi²?
- The tent 3
The top of a 1.3 meters tall tent is tethered to the ground by a cable. The cable makes a 37 degrees angle with the ground. Find the cable length.
- Conjugate coordinates
If the rectangular conjugate of the polar vector 12 angle 35 degrees is equal to x+yi, find the sum of x and y.
- The long
The long side of a rectangular frame is 2′9″, and the short side is 1′3″. What is the area of the frame in square feet?
- Sq feet converions
What is the area in square feet of a room that is 10' 3" x 16' 9"?
- Subtract polar forms
Solve the following 5.2∠58° - 1.6∠-40° and give answer in polar form
- A tree 3
A tree breaks due to storm and the broken part bends so that the top of the tree touches the ground making an angle 30° with it. The distance between the foot of the tree to the point where the top touches the ground is 8 m. Find the height of the tree.
- A lighthouse
A lighthouse overlooks a bay, and it is 77 meters high. From the top, the lighthouse keeper can see a yacht southward at an angle of depression of 32 degrees and another boat eastward at an angle of 25 degrees. What is the distance between the boats?
- Prism - base and height
Find volume of the prism if the base area equals 20 inches² with the height is 12 inches.
- Piece of a wire
A piece of wire is bent into the shape of a triangle. Two sides have lengths of 24 inches and 21 inches. The angle between these two sides is 55°. What is the length of the third side to the nearest hundredth of an inch? A: The length of the third side is
- A boy 5
A boy starts at A and walks 3km east to B. He then walks 4km north to C. Find the bearing of C from A.
- A triangle 7
A triangle lot has the dimensions a=15m, b=10m, and c=20m. What is the measure of the angle between the sides of b and c?
- Cosine - legs
Using the law of cosines, find the measurement of leg b if the givens are β=20°, a=10, and c=15.
- RT with rectangle
In the diagram, find the lengths h and b. One rectangle and one right triangle share one side. We know two angles and the length of the common side, as shown in the picture.
- Rhombus 36
Rhombus ABCD with side 8 cm long has diagonal BD 11.3 cm long. Find angle DAB.
- One side 4
One side of a regular octagon is 12 inches. Find the apothem and its area.
- X-triangle
Find the length of the x segment in the given triangle drawings.
- Angle and slope
Find the angle between the x-axis and the line joining the points (3, -1) and (4,-2) .
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