Angle - practice problems - page 6 of 64

Number of problems found: 1264

Wall and ladder
A ladder is leaning against a wall at 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 adjacent. Calculate their sizes if the angle alpha is 50 degrees less than the angle beta.
In a right-angled 17
In a right-angled triangle DEF with hypotenuse f = 12 cm, the interior angle at vertex D is 60°. What is the length of the side e?
Right Triangle Angle
In a right triangle ABC, the hypotenuse c = 8 cm and the side b = 4 cm. What is the size of angle α?
What is 19
What is the length of the hypotenuse c of a right triangle ABC if the angle α at vertex A is 30° and the hypotenuse a = 3cm?
In a right-angled 15
In a right-angled triangle ABC with hypotenuse c, the length of the side b = 4.5 cm and tan α = 2/3. What is the length of the side a?
Hypotenuse of ABC
In a right triangle ABC with hypotenuse c, the hypotenuse a = 6 cm and sin α = 3/5. What is the length of the hypotenuse 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 the adjacent vertices of the flower bed.
Chord 24
A chord with length t = r times the square root of two divides a circle with radius r into two circular segments. What is the ratio of the areas of these segments?
Adjacent Angles Calculation
The angles alpha and beta are adjacent. Calculate the size of the angle beta if alpha is 57°.
Calculate 5
Calculate the area and perimeter of a trapezoid if side a=10, angle alpha 40 degrees, beta 50 degrees, 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=14.5cm.
Staircase - escalator
A moving staircase moves downwards at a speed of 0.6 m/s. The staircase makes an angle of 45° with the horizontal. A person weighing 80 kg walks upwards at a speed of 0.9 m/s. Determine the distance covered by the person and the work done by him before he
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 hand at arm's length. Then she lifts it by bending her arm only at the elbow, making an angle of 135°. The exercise ends with the dumbbell lowering along the same path. What is the length of the trajectory the dumbbell follow
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 6m, the length is 9m, and the slo
Calculate
A bicycle rotates with a frequency of f= 25 Hz. By braking, its rotation can be slowed down evenly and the bicycle stops after a time of t0= 30 s from the start of braking. Calculate the angular acceleration Ԑ and the number of revolutions the bicycle mak
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!

Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.