Right triangle practice problems - page 7 of 86
Number of problems found: 1712
- Right-angled 3511
In a right-angled triangle at vertex C, the alpha angle is 24 degrees smaller than the beta angle to determine the size of the triangle angles. - 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. - Spruce height
How tall was the spruce that was cut at an altitude of 8m above the ground, and the top landed at a distance of 15m from the heel of the tree? - Double ladder
The double ladder is 8.5m long. It is built so that its lower ends are 3.5 meters apart. How high does the upper end of the ladder reach? - Horizontal 84047
A ladder is leaning against a wall at a height of 6.5 m. How long is the ladder if it makes an angle of 60° with the horizontal floor? - 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?
- Perpendicular 24671
The right triangle has an area of 2304 cm2, and one perpendicular is 8 cm long. Express and calculate the second perpendicular. - Vertically 7853
The storm broke the vertically growing spruce at 8 meters above the ground. The top fell to the bottom 6 meters from the spruce base. Find the original height of the spruce. - Equilateral triangle
The equilateral triangle has a 23 cm long side. Calculate its area. - Calculate 4424
Calculate the area of the triangle ABC if a = 10 cm, c = 8 cm, ta = 6 cm. - Elevation 80866
Find the height of the tower when the geodetic measured two angles of elevation α=34° 30'' and β=41°. The distance between places AB is 14 meters. - Maggie
Maggie observes a car and a tree from a window. The angle of depression of the car is 45 degrees, and that of the tree is 30 degrees. If the distance between the vehicle and the tree is 100 m, find Maggie's distance from the tree. - View angle - river
The 15 m high building is 30 m away from the river bank. The river's width can be seen from the roof of this building at an angle of 15°. How wide is the river? - Gale and spruce
A mighty gale broke the top of the fifteen-year spruce, resting it on the ground. The distance of this top from the trunk was 4.6 m below. At what height was the spruce trunk broken?
- Probability
How probable is a randomly selected three-digit number divisible by five or seven? - Ladder slope
What is the slope of a ladder 6.2 m long and 5.12 m in height? - Triangle ABC
Triangle ABC has side lengths m-1, m-2, and m-3. What has to be m to be a triangle a) rectangular b) acute-angled? - Euclid1
The right triangle ABC has hypotenuse c = 20 cm. How large sections cut height hc=9 cm on the hypotenuse c? - Triangle
Calculate the area of the right triangle ΔABC if one leg is long 12 and its opposite angle is 47°.
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