Triangle practice problems - page 30 of 125
Number of problems found: 2496
- Clouds
From two points, A and B, on the horizontal plane, a forehead cloud was observed above the two points under elevation angles 73°20' and 64°40'. Points A and B are separated by 2830 m. How high is the cloud? - Climb in percentage
The height difference between points A and B is 475 m. Calculate the percentage of route climbing if the horizontal distance between places A and B is 7.4 km. - Telegraph poles
The bases of two adjacent telegraph poles have a height difference of 10.5 m. How long do the wires connect the two poles if the slope is 39° 30’? - Observation 17433
The aircraft flying just above point A can be seen from observation B, 2,400 meters away from point A, at an altitude of 52°30'. How high does the plane fly? - Horizontal 3166
The road leading from place A to place B has a gradient of 9%. Considering that their altitudes differ by 27.9 m, determine the horizontal distance between them. - Isosceles 83247
Calculate the lengths of the sides in an isosceles triangle, given the height (to the base) Vc= 8.8cm and the angle at the base alpha= 38°40`. - Bridge across the river
The width of the river is 89 m. For terrain reasons, the bridge deviates from a common perpendicular to both banks by an angle of 12° 30 '. Calculate how many meters the bridge is longer than the river. - A missile
A missile is fired with a speed of 100 fps in a direction 30° above the horizontal. Determine the maximum height to which it rises. Fps foot per second. - Traffic sign
There is a traffic sign for climbing on the road with an angle of 7%. Calculate at what angle the road rises (falls). - Altitude difference
Between the resorts is 15 km, and the climb is 13 permille. What is the height difference? - Is right triangle
One angle of the triangle is 36°, and the remaining two are in the ratio of 3:5. Determine whether a triangle is a rectangular triangle. - Right-angled 81150
In the right-angled triangle ABC (the right angle at vertex C), the angle ratio is α : β = 5 : 3. Calculate the sizes of these angles and convert them to degrees and minutes (e.g., 45°20') - Centimeter 64224
A ladder leans against the wall. It touches the wall at the height of 340 cm, and its lower end is 160 cm away from the wall. How long is the ladder? Express the result to the nearest centimeter. - Elevation angles
Two endpoints distant 240 m are inclined at an angle of 18°15'. The top of the mountain can be seen at elevation angles of 43° and 51° from its. How high is the mountain? - Difference 6469
The cable car rose at an angle of 15 °. The height difference between the upper and lower stations is 106m. Calculate the path's length. - Clouds
We see the cloud under an angle of 26°10' and the Sun at an angle of 29°15'. The shade of the cloud is 92 meters away from us. Approximately at what height is the cloud? - TV tower
Calculate the height of the television tower if an observer standing 430 m from the base of the tower sees the peak at an altitude angle of 23°. - Flowerbed
The flowerbed has the shape of an obtuse isosceles triangle. The arm has a size of 7.6 meters, and an angle opposite the base size is 124°. What is the distance from the base to the opposite vertex? - Depth angles
At the top of the mountain stands a castle with a tower 30 meters high. We see the crossroad at a depth angle of 32°50' and the heel at 30°10' from the top of the tower. How high is the top of the mountain above the crossroad? - Steeple
The church tower is seen from the road at an angle of 52°. When we zoom out to 29 meters away, it can be seen at an angle of 21°. How high is it?
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