Right triangle + length - practice problems - page 18 of 31
Number of problems found: 614
- Northeasterly 9681
A military unit marches in a northerly direction from point A to point B, 15 km away. From place B, it goes 12 km in a northeasterly direction to place C. Determine the direct distance of cities A and C and certainly the deviation -alpha- by which the uni - Diagonals in diamons/rhombus
Rhombus ABCD has a side length AB = 4 cm and a length of one diagonal of 6.4 cm. Calculate the length of the other diagonal. - Calculate 9701
In the triangle, the side length AB = 6 cm, the height per side c = 5 cm, and the angle BCA = 35°. Calculate sides a b. - Equilateral 81142
The rotating body was created by rotating an equilateral triangle with a side length of a=2 cm around one of its sides. Calculate the volume of this rotating body.
- Aircraft 25161
The average climb angle of the aircraft is 11 ° 20', and its average speed is 400 km/h. How long does it take to climb to a height of 3000m? - Diamond
The side length of the diamond is 35 cm, and the length of the diagonal is 56 cm. Calculate the height and length of the second diagonal. - Triangular pyramid
Calculate a regular triangular pyramid's volume and surface area with a height equal to the base edge 10 cm long. - Forces
In point, O acts three orthogonal forces: F1 = 20 N, F2 = 7 N, and F3 = 19 N. Determine the resultant of F and the angles between F and forces F1, F2, and F3. - Rhombus
Calculate the length of the diagonal AC of the rhombus ABCD if its perimeter is 84 dm and the other diagonal BD has length 20 dm.
- In the desert
A man wondering in the desert walks 5.7 miles in the direction S 26° W. He then turns 90° and walks 9 miles in the direction N 49° W. At that time, how far is he from his starting point, and what is his bearing from his starting point? - Sailboat
The 20 m long sailboat has an 8 m high mast in the middle of the deck. The top of the mast is fixed to the bow and stern with a steel cable. Determine how much cable is needed to secure the mast and what angle the cable will make with the ship's deck. - Rectangular 63094
Calculate the perimeter and the area of a rectangular garden if the diagonal length is 18 m long and one of the sides of the garden is 9m long. - Metal washers
Metal washers with a diameter of 80 mm are cut from a strip of steel sheet with a width of 10 cm and a length of 2 m. When two adjacent circles meet, calculate the material waste percentage if no material is lost. - Calculate 5499
Calculate the area of the circle, which is described by a square with a side length of 7.5 cm.
- Surface area of the top
A cylinder is three times as high as it is wide. The length of the cylinder diagonal is 20 cm. Find the exact surface area of the top of the cylinder. - Circumscribed circle to square
Find the length of a circle circumscribing a square side of 10 cm. Compare it to the perimeter of this square. - Right-angled 6034
A three-sided prism has a base in the shape of a right-angled triangle with a length of 5 cm. The giant wall of the prism shell has a volume of 104 cm². The prism is 8 cm high. Calculate the volume and surface area of the prism. - Horizontal 64864
The meter stick is located on the meridian plane and deviated from the horizontal plane to the north by an angle of magnitude 70°. Calculate the length of the shadow cast by a meter stick at true noon if the Sun culminates at an angle of 41°03'. - Diagonal
Calculate the diagonal length of the rectangle ABCD with sides a = 8 cm, b = 7 cm.
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