Right triangle practice problems - page 8 of 86
Number of problems found: 1716
- Straight  21243   The straight railway line has a gradient of 16 permille. What is the size of the pitch angle? The straight railway line has a gradient of 16 permille. What is the size of the pitch angle?
- Euclidean distance  Calculate the Euclidean distance between shops A, B, and C, where: A 45 0.05 B 60 0.05 C 52 0.09 The first figure is the weight in grams of bread, and the second figure is the USD price. Calculate the Euclidean distance between shops A, B, and C, where: A 45 0.05 B 60 0.05 C 52 0.09 The first figure is the weight in grams of bread, and the second figure is the USD price.
- Acceleration - down a slope  A skier goes down a slope 66 m long in a uniformly accelerated motion in 10 seconds. With what acceleration was it moving, and what is the slope of the slope? A skier goes down a slope 66 m long in a uniformly accelerated motion in 10 seconds. With what acceleration was it moving, and what is the slope of the slope?
- Big tree  You are standing 20 feet away from a tree, and you measure the elevation angle to be 38°. How tall is the tree? You are standing 20 feet away from a tree, and you measure the elevation angle to be 38°. How tall is the tree?
- 11990 perimeter RT  A right triangle has integer side lengths and a perimeter of 11990. In addition, we know that one of its perpendiculars has a prime number length. Find its length. A right triangle has integer side lengths and a perimeter of 11990. In addition, we know that one of its perpendiculars has a prime number length. Find its length.
- Arm and base  The isosceles triangle has a circumference of 46 cm. If the arm is 5 cm longer than the base, calculate its area. The isosceles triangle has a circumference of 46 cm. If the arm is 5 cm longer than the base, calculate its area.
- Isosceles triangle  Calculate the size of the interior angles and the length of the base of the isosceles triangle if the arm's length is 17 cm and the height of the base is 12 cm. Calculate the size of the interior angles and the length of the base of the isosceles triangle if the arm's length is 17 cm and the height of the base is 12 cm.
- Isosceles triangle 10  In an isosceles triangle, the equal sides are 2/3 of the length of the base. Determine the measure of the base angles. In an isosceles triangle, the equal sides are 2/3 of the length of the base. Determine the measure of the base angles.
- The ladder  The ladder has a length of 3 m and is leaning against the wall, and its inclination to the wall is 45°. How high does it reach? The ladder has a length of 3 m and is leaning against the wall, and its inclination to the wall is 45°. How high does it reach?
- Rectangular triangle  The lengths of the rectangular triangle sides with a longer leg of 12 cm form an arithmetic sequence. What is the area of the triangle? The lengths of the rectangular triangle sides with a longer leg of 12 cm form an arithmetic sequence. What is the area of the triangle?
- Isosceles triangle  The leg of the isosceles triangle is 5 dm, and its height is 20 cm longer than the base. Calculate base length z. The leg of the isosceles triangle is 5 dm, and its height is 20 cm longer than the base. Calculate base length z.
- Road drop  A 12 percent drop is marked on a straight stretch of road. What angle aligns the direction of the road with the horizontal plane? A 12 percent drop is marked on a straight stretch of road. What angle aligns the direction of the road with the horizontal plane?
- High wall  I have a wall 2m high. I need a 15-degree angle (upward) to the second wall 4 meters away. How high must the second wall be? I have a wall 2m high. I need a 15-degree angle (upward) to the second wall 4 meters away. How high must the second wall be?
- Climb  For horizontal distance 3 km, road rise by 4.6 m. Calculate the road pitch in ‰ (permille, parts per thousand). For horizontal distance 3 km, road rise by 4.6 m. Calculate the road pitch in ‰ (permille, parts per thousand).
- Column  The vertical pole high 7 m tall broke, and its toe fell 4.7 m from the bottom of the pole. At what height above the ground does the pole break? The vertical pole high 7 m tall broke, and its toe fell 4.7 m from the bottom of the pole. At what height above the ground does the pole break?
- IS triangle  Calculate the interior angles of the isosceles triangle with base 12 cm and legs 19 cm long. Calculate the interior angles of the isosceles triangle with base 12 cm and legs 19 cm long.
- Perpendicular 83636  In a right-angled triangle, you know a drop of 7 meters and an angle of 30 degrees. Calculate the type of overhang; calculate both variants - the specified angle is opposite and adjacent to the specified perpendicular. In a right-angled triangle, you know a drop of 7 meters and an angle of 30 degrees. Calculate the type of overhang; calculate both variants - the specified angle is opposite and adjacent to the specified perpendicular.
- Hypotenuse 80461  The ratios of the sides of a right triangle are 3: 4: 5. How long is the hypotenuse if the entire perimeter of the triangle is 48 cm? The ratios of the sides of a right triangle are 3: 4: 5. How long is the hypotenuse if the entire perimeter of the triangle is 48 cm?
- Kilometers  73344   How many meters will the track ascend if it is 200 kilometers long and the ascent is 7 per mille? How many meters will the track ascend if it is 200 kilometers long and the ascent is 7 per mille?
- Calculate  60993   In the right triangle ABC, calculate the magnitude of the interior angles if / AB / = 13 cm; / BC / = 12 cm and / AC / = 5 cm. In the right triangle ABC, calculate the magnitude of the interior angles if / AB / = 13 cm; / BC / = 12 cm and / AC / = 5 cm.
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