Right triangle practice problems - page 10 of 86
Number of problems found: 1716
- Lift
The largest angle at which the lift rises is 16°31'. Give climb angle in permille.
- Acute angles
Sizes of acute angles in the right-angled triangle are in the ratio 1:3. What is the size of the larger of them?
- Building
How high is the building that throws horizontal shadow 85.6 m long at angle 34°12'?
- Right triangle Alef
The obvod of a right triangle is 120 cm, and the hypotenuse is 51 cm long. Determine the lengths of the legs.
- Distance 19043
Radar sees an aircraft at an altitude angle of 15°24', and the direct distance from the radar is 5545 m. At what altitude does the aircraft fly?
- ABCD
AC= 40cm , angle DAB=38 , angle DCB=58 , angle DBC=90 , DB is perpendicular on AC , find BD and AD
- Calculate 5121
Calculate the height of the tree - data - from a distance of 41m at an angle of 15 degrees. I will see it in its entirety.
- SAS triangle
The triangle has two sides, long 7 and 19, and includes angle 47°24'. Calculate the area of this triangle.
- Angles in a triangle
In a triangle, the first angle measures a number plus 45°, and the second angle is 30° less than the first angle. The third angle is two times the number more than the first angle. What are the measurements of each angle of the triangle?
- Horizontal distance
The road has a gradient of 8%. How many meters will it rise over a horizontal distance of 400m?
- Right angled triangle 3
Side b = 1.5, hypotenuse angle A = 70 degrees, Angle B = 20 degrees. Find the length of its unknown sides.
- Interior 39791
For the interior angles of a triangle, the angle β is twice as large, and the angle γ is three times larger than the angle α. Is this triangle right?
- Determine 39503
In a right triangle, one acute angle is 20° smaller than the other. Determine the size of the interior angles in the triangle.
- The sides
The sides of a right triangle form an arithmetic sequence. The hypotenuse is 24 cm long. Determine the remaining sides of the triangle.
- Ratio of triangles areas
In an equilateral triangle ABC, the point T is its center of gravity, the point R is the image of the point T in axial symmetry along the line AB, and the point N is the image of the point T in axial symmetry along the line BC. Find the ratio of the areas
- Ratio iso triangle
The ratio of the sides of an isosceles triangle is 7:6:7. Find the base angle to the nearest answer correct to 3 significant figures.
- Right triangles
How many right triangles we can construct from line segments 3,4,5,6,8,10,12,13,15,17 cm long? (Do not forget the triangle inequality).
- Difference 81888
The ropeway climbs at an angle of 22°30'. Calculate its length if the height difference between the lower and upper station is 560m. Sketch a picture
- The airplane
The airplane sights a runway at an angle of depression of 23°. It is flying at an altitude of 3 kilometers above the ground. What is the horizontal distance of the airplane from the airport?
- Circumference 4430
There is an isosceles triangle with a circumference of 36 cm, and the height at the base is 12 cm long. Calculate the length of the arm of a given triangle.
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