Angle practice problems - page 31 of 63
Number of problems found: 1252
- Base and legs
A right triangle has a base/legs/length of 12 cm, and the angle with the hypotenuse is 13 degrees. What is the length of the second hypotenuse? - The staircase
The staircase has a total height of 3.6 m and forms an angle of 26° with the horizontal. Calculate the length of the whole staircase. - One side
One side is 36 long with a 15° incline. What is the height at the end of that side? - Road
A ratio of 1:15 gives the average climb of the road. By what angle does the road moderate climb? - Determine 13541
The alpha angle is twice the beta angle, and the gamma angle is three times the beta angle. Determine the sizes of all interior angles of the alpha, beta, and gamma triangle ABC. - Right-angled 3511
In a right-angled triangle at vertex C, the alpha angle is 24 degrees smaller than the beta angle to determine the size of the triangle angles. - Isosceles trapezoid v3
In an isosceles trapezoid ABCD is the size of the angle β = 123° Determine size of angles α, γ and δ. - The aspect ratio
The aspect ratio of the rectangular triangle is 13:12:5. Calculate the internal angles of the triangle. - Ladder slope
What is the slope of a ladder 6.2 m long and 5.12 m in height? - Angle
Determine the size of the smallest internal angle of a right triangle which angles forming the successive members of the arithmetic sequence. - It is rectangular?
The size of two of the angles in a triangle is α=110°, β=40°. Is it a right triangle? - Interior angles - sum
For the sum s of the interior angles of a polygon, where n is the number of its sides, the relation s=(n−2)⋅180 degrees applies. How many sides does a polygon have if the sum of its interior angles is 900°? - Directional 2595
Calculate the interior angles of triangle ABC using vectors. Coordinates A [2; 4] B [4; 6] C [0; -4]. Calculate directional vectors of sides, parametric and general equations of sides, parametric and general equations of lines, calculate area, calculate h - 30-60-90
The longer leg of a 30°-60°-90° triangle measures 5. What is the length of the shorter leg? - Triangle
Calculate the area of the right triangle ΔABC if one leg is long 12 and its opposite angle is 47°. - Descent of road
The road sign informs us the gradient is 10.9%. Calculate the angle at which the average decreases. - Circle 7794
Draw a circle k, r = 4cm, and divide it into two parts in a ratio of 1:5. - Coefficient 81704
In the equation of the line p: ax-2y+1=0, determine the coefficient a so that the line p: a) it formed an angle of 120° with the positive direction of the x-axis, b) passed through point A[3,-2], c) was parallel to the x-axis, d) had a direction of k = 4. - Sailboat
The 20 m long sailboat has an 8 m high mast in the middle of the deck. The top of the mast is fixed to the bow and stern with a steel cable. Determine how much cable is needed to secure the mast and what angle the cable will make with the ship's deck. - A man 7
A man wandering in the desert walks 3.8 miles in the direction of S 44° W. He then turns and walks 2.2 miles toward N 55° W. At that time, how far is he from his starting point? (Round your answer to two decimal places.)
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