Unit conversion + triangle - practice problems - page 4 of 17
Number of problems found: 331
- 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' - River
Calculate how many permille river Dunaj average falls, if on section long 957 km flowing water from 1454 m AMSL to 101 m AMSL. - Slope of track
Calculate the average slope (in permille and even in degrees) of the rail tracks between Prievidza (309 m AMSL) and $town ($mnm m AMSL) if the track is $s km long. - 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`.
- Loonie
Loonie has three wooden sticks measuring 17 inches, 21 inches, and 25 inches. He lays them down to form a triangle. Find the measure of the angle enclosed by 17 inches and 21 inches. (Express answers to the nearest hundredths) (using the law of cosines) - Observatories 82707
Target C is observed from two artillery observatories, A and B, 296m apart. At the same time, angle BAC = 52°42" and angle ABC = 44°56". Calculate the distance of the target from observatory A. - A ship
A ship has been spotted by two lighthouses, A and B, as shown in the figure. What is the distance from the ship to Lighthouse A to the nearest tenth? Figure - the distance between lighthouses A and B is 40 nautical miles. From A is seen in view angle 57° - Minutes 7700
At what angle does the road rise if the climb is 8%? They rounded up for tens of minutes. - The rescue helicopter
The rescue helicopter is above the landing site at a height of 180m. The rescue operation site can be seen from here at a depth angle of 52°40'. How far will the helicopter land from the rescue site?
- Inclination 34381
A skier starts down a hill of length l and an angle of inclination of 10˚. It then moves to a horizontal section of the track, which travels the same length l until it stops. Determine the coefficient of sliding friction between the skis and the snow. - A flagpole
A flagpole is leaning at an angle of 107° with the ground. A string fastened to the top of the flagpole is holding up the pole. The string makes an angle of 38° with the ground, and the flagpole is 8 m long. What is the length of the string? - Steeple
We see the church tower 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? - Laths
There are two laths in the garage opposite one another: one 2 meters long and the other 3 meters long. They fall against each other and lean against the opposite walls of the garage. Both laths touch at 70 cm above the garage floor. How wide is the garage - Dig water well
Mr. Zeman is digging a well. Its diameter is 120 cm and plans to be 3.5 meters deep. How long (at least) must be a ladder, after which Mr. Zeman would have eventually come out?
- The tower
The observer sees the tower's base 96 meters high at a depth of 30 degrees and 10 minutes and the top of the tower at a depth of 20 degrees and 50 minutes. How high is the observer above the horizontal plane on which the tower stands? - Observation tower
The observation tower has a height of 105 m above sea level. The ship is aimed at a depth angle of 1° 49' from the tower. How far is the ship from the base of the tower? - A drone
A flying drone aimed the area for an architect. He took off perpendicularly from point C to point D. He was 300 m above ABC's plane. The drone from point D pointed at a BDC angle of 43°. Calculate the distance between points C and B in meters. - Observer's 82805
An airliner currently flying over a location 2,400 m away from the observer's location is seen at an elevation angle of 26° 20'. At what height does the plane fly? - Observatories 64424
Objective C we observe from two artillery observatories, A and B, which are 975 m apart. The size of the BAC angle is 63 °, and the size of ABC is 48 °. Calculate the distance of points A and C.
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