Triangle practice problems - page 31 of 126
Number of problems found: 2520
- Two boats
Two boats are located from a height of 150 m above the lake's surface at depth angles of 57° and 39°. Find the distance of both boats if the sighting device and both ships are in a plane perpendicular to the lake's surface. - Mast
A mast casts a shadow of length 16 on a slope that rises from the base of the mast in the direction of the shadow at an angle of 9.7°. Determine the height of the mast if the sun is at an angle of 40°48'° above the horizon. - Triangle angle operations
There are also two equilateral triangles ABC, and BDE, such that the size of the angle ABD is greater than 120° and less than 180° points C and E lie in the same half-plane defined by the line AD. The intersection of CD and AE is marked F. Determine the s - Powerplant chimney
From the building window at the height of 7.5 m, we can see the top of the factory chimney at an altitude angle of 76° 30 ′. We can see the chimney base from the same place at a 5° 50 ′ depth angle. How tall is the chimney? - Camera Blind Spot Length
The camera with a viewing angle of 120 ° was placed horizontally on the observatory at 30 m. What length d of the section at the tower's base can the camera not capture? - Train
The train is running at speeds of 98 km/h. From the beginning of braking to full stop, the train runs for 2 minutes. If the train slows the braking equally, calculate the distance from the location where you need to start to brake. - River
Calculate the average gradient in per mille of river Hudson, given that along a 952 km section the water flows from 1231 m above sea level down to 131 m above sea level. - Triangles
Find out whether the given sizes of the angles can be interior angles of a triangle: a) 23°10',84°30',72°20' b) 90°,41°33',48°37' c) 14°51',90°,75°49' d) 58°58',59°59',60°3' - Rectangular triangle PQR
In the rectangular triangle PQR, the PQ leg is divided by the X point into two segments, of which longer is 25 cm long. The second leg PR has a length of 16 cm. The length of the RX is 20 cm. Calculate the length p of side RQ. The result is round to 2 dec - Inclined plane
1. How much work W do we have to do to pull a body weighing 200 kg along an inclined plane with a length of 4 m to a total height of 1.5 m? 2. Find the force we need to exert to do this if we neglect frictional resistance. 3. Find the force we would need - Cone roof consumption
The roof of a tower has the shape of a lateral surface of a cone with a base diameter of 4.3 m. The angle between the slant side and the base plane is 36°. Calculate the amount of sheet metal needed to cover the roof, allowing 8% for waste. - Distance Between Boats An observer watches two boats at depth angles of 64° and 48° from the top of the hill, which is 75 m above the lake level. Determine the distance between the boats if both boats and the observer are in the same vertical plane.
- Map - climb
On the map of the High Tatras, on a scale of 1:11000, are cable car stations in the Tatranska Lomnica and the Skalnate Pleso with a distance of 354.6 mm. The altitude of these stations is 949 m and 1760 m. What is the average angle of climb on this cable - Calculate
Two friends, Mário and Jano, lived on opposite sides of a highway. They decided to find out how wide it was. Mário drew a diagram, based on which they made measurements the next day. They measured the values a = 5 m, b = 5.9 m, and d = 5 m. Calculate the - Elevation of the tower
We can see the top of the tower standing on a plane from a certain point A at an elevation angle of 39°25''. If we come towards its foot 50 m closer to place B, we can see the top of the tower from it at an elevation angle of 56°42''. How tall is the towe - The chimney
How high is the chimney if we see it from a distance of 60 m at an angle of 42°? - Perpendicular line
According to the map, the scouts were supposed to proceed through the forest perpendicular to its straight edge, where the goal was 3 km away from the starting point. They already deviated from the correct direction by 5° at the start. How far from the ta - Isosceles triangle 9
There is an isosceles triangle ABC where AB= AC. The perimeter is 64 cm, and the altitude is 24 cm. Find the area of the isosceles triangle. - Fighter
A military fighter flies at an altitude of 10 km. The ground position was aimed at an altitude angle of 23° and 12 seconds later at an altitude angle of 27°. Calculate the speed of the fighter in km/h. - 14 sticks
I was cleaning up my attic recently and found a set of at least 14 sticks which a curious Italian sold me some years ago. Trying hard to figure out why I bought it from him, I realized that the set has the incredible property that there are no three stick
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