Triangle practice problems - page 36 of 125
Number of problems found: 2496
- 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.
- Triangles - combinations  How many different triangles with sides in whole centimeters have a perimeter of 12 cm? How many different triangles with sides in whole centimeters have a perimeter of 12 cm?
- 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.
- What is 19  What is the length of the hypotenuse c of a right triangle ABC if the angle α at vertex A is 30° and the hypotenuse a = 3cm? What is the length of the hypotenuse c of a right triangle ABC if the angle α at vertex A is 30° and the hypotenuse a = 3cm?
- In a right-angled 15  In a right-angled triangle ABC with hypotenuse c, the length of the side b = 4.5 cm and tan α = 2/3. What is the length of the side a? In a right-angled triangle ABC with hypotenuse c, the length of the side b = 4.5 cm and tan α = 2/3. What is the length of the side a?
- Big tower  From a tower 15 meters high and 30 meters away from the river, the width of the river appeared at an angle of 15°. How wide is the river in this place? From a tower 15 meters high and 30 meters away from the river, the width of the river appeared at an angle of 15°. How wide is the river in this place?
- Difference of legs  In a right triangle, the hypotenuse length is 65 m, and the difference between legs is 23 m. Calculate the perimeter of this triangle. In a right triangle, the hypotenuse length is 65 m, and the difference between legs is 23 m. Calculate the perimeter of this triangle.
- Base of an isosceles triangle  Calculate the size of the base of an isosceles triangle; the height is 5 cm, and the arm's length is 6.5 cm. What is the perimeter of this triangle? Calculate the size of the base of an isosceles triangle; the height is 5 cm, and the arm's length is 6.5 cm. What is the perimeter of this triangle?
- Angle  of climb  At what angle does the road rise if the climb is 10%? At what angle does the road rise if the climb is 10%?
- Tree shadow 3  A 2-meter rod casts a shadow 3.2 m long. How high is a tree with a shadow of 14.4 m? A 2-meter rod casts a shadow 3.2 m long. How high is a tree with a shadow of 14.4 m?
- Satin  Sanusha buys a piece of satin 2.4 m wide. The diagonal length of the fabric is 4m. What is the length of the piece of satin? Sanusha buys a piece of satin 2.4 m wide. The diagonal length of the fabric is 4m. What is the length of the piece of satin?
- Hypotenuse 84015  In a right triangle ABC, the hypotenuse c = 8 cm and the side b = 4 cm. What is the size of angle α? In a right triangle ABC, the hypotenuse c = 8 cm and the side b = 4 cm. What is the size of angle α?
- Triangle's  63774   Calculate the perimeter of an isosceles triangle if the triangle's height is 15 cm and the base is 16 cm. Calculate the perimeter of an isosceles triangle if the triangle's height is 15 cm and the base is 16 cm.
- Distance two imaginary numbs  Find the distance between two complex numbers: z1=(-8+i) and z2=(-1+i). Find the distance between two complex numbers: z1=(-8+i) and z2=(-1+i).
- Isosceles  4741   The arm is five times longer than its base in an isosceles triangle. Calculate its interior angles. The arm is five times longer than its base in an isosceles triangle. Calculate its interior angles.
- How big is 4  How big is the angle when one side is 20m and the other is 1.5m in a right triangle? How big is the angle when one side is 20m and the other is 1.5m in a right triangle?
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