Triangle practice problems - page 32 of 124
Number of problems found: 2479
- Lift
The largest angle at which the lift rises is 16°31'. Give climb angle in permille.
- Church tower
Archdeacon church in Usti nad Labem has diverted the tower by 186 cm. The tower is 65 m high. Calculate the angle by which the tower is tilted. Results are written in degree minutes.
- Building
How high is the building that throws horizontal shadow 85.6 m long at angle 34°12'?
- Carpenter 4227
The carpenter leaned the two-meter kitchen counter against the wall. The lower edge is 0.75m away from the wall. At what height from the ground is the board's top edge resting?
- Building elevation angle
In the building, I focused at an angle 30°. When I moved the 5 m building, I focused at an angle 45°. What is the height of the building?
- 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.
- The right triangle
In the right triangle ABC with a right angle at C, we know the side lengths AC = 9 cm and BC = 7 cm. Calculate the length of the remaining side of the triangle and the size of all angles.
- The Eiffel Tower
The top of the Eiffel Tower is seen from 600 meters at a 30 degree angle. Find the tower's height.
- 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).
- Cable car
The cable car rises at an angle of 44° and connects the upper and lower station with an altitude difference of 1089 m. How long is an "endless" tow rope?
- Horizontal 83362
The observer sees the plane at an elevation angle of 35° (angle from the horizontal plane). At that moment, the plane reported an altitude of 4 km. How far from the observer is the place over which the aircraft flies? They circled for hundreds of meters.
- 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?
- The mast
We see the top of the pole at an angle of 45°. If we approach the pole by 10 m, we see the top of the pole at an angle of 60°. What is the height of the pole?
- RT 11
Calculate the area of the right triangle if its perimeter is p = 45 m and one cathetus is 20 m long.
- SAS triangle
The triangle has two sides, long 7 and 19, and includes angle 47°24'. Calculate the area of this triangle.
- Observation tower
At the top of the hill, there is a 30-meter-high observation tower. We can see its heel and shelter from a certain point in the valley at elevation angles a=28°30" and b=30°40". How high is the top of the hill above the horizontal plane of the observation
- Center of gravity and median
In the isosceles triangle ABC, the center of gravity T is 2 cm from the base AB. The median parallel to the AB side measures 4 cm. What is the area of the ABC triangle?
- Depth angle
From a cliff of 150 meters high, we can see the ship at a depth angle of 9° at sea. How far is the ship from the cliff?
- IS triangle
Calculate the interior angles of the isosceles triangle with base 12 cm and legs 19 cm long.
- Pythagorean 81883
Hello, I have a problem calculating the height on side z in the general triangle XYZ, where z=4 cm, x=1.5 cm, and y=3.7 cm. It was assigned in 8th grade when discussing the Pythagorean theorem. Thank you.
Do you have unsolved problem that you need help? Ask a question, and we will try to solve it. Solving math problems.
See also our trigonometric triangle calculator. See also more information on Wikipedia.