Angle - practice problems - page 6 of 64

Number of problems found: 1279

In trapezoid 3
In trapezoid ABCD, the following elements are given: lengths of the parallel sides a = 20 cm and c = 11 cm, angle α = 63°36', and angle β = 79°36'. Calculate the lengths of the other two sides and the sizes of the remaining angles.
Wall and ladder
A ladder leans against a wall, reaching a height of 6.5 m. How long is the ladder if it makes an angle of 60° with the horizontal floor?
Angles alpha 2
Angles alpha and beta are supplementary. Calculate their sizes if angle alpha is 50 degrees less than angle beta.
In a right-angled 17
In right triangle DEF with hypotenuse f = 12 cm, the interior angle at vertex D is 60°. What is the length of side e?
Right Triangle Angle
In a right triangle ABC, hypotenuse c = 8 cm and leg b = 4 cm. What is the size of angle α?
What is 19
What is the length of the hypotenuse c of right triangle ABC if the angle α at vertex A is 30° and leg a = 3 cm?
In a right-angled 15
In a right triangle ABC with hypotenuse c, leg b = 4.5 cm and tan α = 2/3. What is the length of leg a?
Hypotenuse of ABC
In a right triangle ABC with hypotenuse c, leg a = 6 cm and sin α = 3/5. What is the length of leg b?
Decadal - flower bed
The castle park includes a flower bed in the shape of a regular decagon with an area of 432.8 m². Determine the distance between adjacent vertices of the flower bed.
Chord 24
A chord of length t = r√2 divides a circle with radius r into two circular segments. What is the ratio of the areas of these two segments?
Adjacent Angles Calculation
Angles alpha and beta are supplementary. Calculate the size of angle beta if alpha is 57°.
Calculate 5
Calculate the area and perimeter of a trapezoid with side a = 10, angle α = 40°, angle β = 50°, and side c = 3.
Right Triangle Side Calculation
In a right-angled triangle, you know a drop of 7 meters and an angle of 30 degrees. Calculate the type of overhang; calculate both variants - the specified angle is opposite and adjacent to the specified perpendicular.
Similar triangles
We have similar triangles ABC with angle CAB=45° and angle ACB= 30° and a similar triangle OPN. What is the angle NOP in a similar triangle?
Heptagon perimeter
Calculate a regular heptagon's perimeter if its shortest diagonal length is u=14.5 cm.
Staircase - escalator
An escalator moves downward at a speed of 0.6 m/s at an angle of 45° to the horizontal. A person weighing 80 kg walks upward on it at a speed of 0.9 m/s. Determine the distance covered by the person and the work done by him before he reaches a height of 2
Parallelogram Angles
In a parallelogram, ABCD, the angle at vertex B is 108°. What is the angle size at the vertex D?
Trajectory
Nelka holds a dumbbell in her outstretched hand. She then lifts it by bending her arm only at the elbow through an angle of 135°. The exercise ends with the dumbbell being lowered back along the same path. What is the total length of the trajectory the du
Rectangular roof
Our house's roof is rectangular. When it rains, the water drains through the gutter. How much water flowed from our roof during a storm when we know that 12 liters of water fell on every 1 m² of surface? The roof width is 6 m, the length is 9 m, and the s
Calculate
A bicycle wheel rotates with a frequency of f = 25 Hz. By braking, its rotation is slowed uniformly and the wheel stops after a time of t₀ = 30 s from the start of braking. Calculate the angular deceleration ε and the number of revolutions the wheel makes

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