Angle practice problems - page 20 of 63
Number of problems found: 1253
- Vector components
The force R = 12 N is divided into two components, F1 and F2. Their directions make angles α = 30°, β = 45° with the direction R. What are the components F1 and F2?
- Approximation of tangent fx
What is the nontrigonometric formula (not a polynomial fit) for the growth curve that solves algebraically for the increase between tan(1 degree) and tan(2 degrees) continuing up to the tangent(45 degrees)? Okay, to use pi Check calculation for 12°.
- Clock face
A clock face is drawn on paper. Straight lines connect numbers 10 and 5, and 3 and 8. Calculate the size of their angles.
- Engine power
Calculate the engine power of a truck moving at a constant speed of v= 30 km/h on a road with a 5% gradient when the weight of the truck with the load m= 5000 kg!
- Slope of the pool
Calculate the slope (ratio rise:run) of the bottom of the swimming pool long 40 m. The water depth at the beginning of the pool is 1.09 m (for children), and the depth at the end is 1.88 m (for swimmers). Calculated slope write it as a percentage and also
- Draw SSA triangle
Draw a triangle ABC if you know: alpha = 60° side b = 4 cm side a = 10 cm
- Calculate 83160
Calculate the distance of point A[ 4; 2; -3 ] from the plane : 2x - 2y + z + 5 = 0
- Aircraft
From the aircraft flying at an altitude of 500m, they observed places A and B (at the same altitude) in the direction of flight at depth angles alpha = 48° and beta = 35°. What is the distance between places A and B?
- Two-meter 3473
A tree with an unknown height casts a shadow 18 m long at a time, while a two-meter pole casts a shadow of 2.4 m. How tall is the tree?
- Chimney - view angle
From a distance of 36 meters from the chimney base, its top can be seen at an angle of 53°. Calculate the chimney height and the result round to whole decimeters.
- The shadow
The shadow of a 1 m high pole thrown on a horizontal plane is 0.8 m long. At the same time, the shadow of a tree thrown on a horizontal plane is 6.4 m. Determine the height of the tree.
- Construction
Construct the triangle ABC if you know: the size of the side AC is 6 cm, the size of the angle ACB is 60°, and the distance of the center of gravity T from the vertex A is 4 cm. (Sketch, analysis, notation of construction, construction)
- 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’?
- Construct 25851
A. Construct ∆ABC such that c = 55 mm, α = 45 °, β = 60 °. B. Draw any acute triangle and construct its heights.
- Triangles 6682
Triangles ABC and A'B'C'. They are similar. In triangle ABC, the measures of the two angles are 25 degrees and 65 degrees. Explain why, in triangle A'B'C', the sum of the sizes of the two angles is equal to 90 degrees.
- Calculate 82282
Calculate the sizes of the interior angles in the triangle whose vertices are the points marked by the numbers 1, 5, and 8 on the clock face.
- Calculate 81757
Calculate the size of the largest angle in triangle ABC if a = 7 cm, b = 8 cm, and c = 13 cm. Calculate the area of the triangle, the height per side a.
- Observation angle
At what angle of view does an object 70 m long appear to the observer, 50 m away from one end and 80 m from the other end?
- Airship
An airship is at a height x above the ground. Pavel watches it from point A at an elevation angle of 18 degrees 26 minutes. At the same time, Peter sees it from a small plane that is currently flying over Pavel at an altitude of 150m. Peter sees the airsh
- 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
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