Angle practice problems - page 3 of 60
an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.We measure the size of an angle in radians or degrees. 1 radian is a quantity that corresponds to the length of 1 arc of the unit circle. A straight angle has a size of 2π rad. In degrees, a full angle is 360°, a right angle is 180°, and a right angle is 90°. 1 degree has 60 degree minutes and one minute has 60 degree seconds.
Number of problems found: 1197
- A lighthouse
A lighthouse overlooks a bay, and it is 77 meters high. From the top, the lighthouse keeper can see a yacht southward at an angle of depression of 32 degrees and another boat eastward at an angle of 25 degrees. What is the distance between the boats? - Piece of a wire
A piece of wire is bent into the shape of a triangle. Two sides have lengths of 24 inches and 21 inches. The angle between these two sides is 55°. What is the length of the third side to the nearest hundredth of an inch? A: The length of the third side is - Minimum interior angle
What is the minimum interior angle possible for a regular polygon? - Number of sides
Find the number of sides of a regular polygon whose each exterior angle has a measure of 45°.
- A triangle 7
A triangle lot has the dimensions a=15m, b=10m, and c=20m. What is the measure of the angle between the sides of b and c? - A boy 5
A boy starts at A and walks 3km east to B. He then walks 4km north to C. Find the bearing of C from A. - Cosine - legs
Using the law of cosines, find the measurement of leg b if the givens are β=20°, a=10, and c=15. - Central angle 2
What is the arc length of a circle with a radius of 12 cm and a central angle of 255 degrees? A. 8.5 cm B. 12π cm C. 24π cm D. 17π cm - Parallelogram - angles
In a parallelogram ABCD, if angle alpha measures ∠A = 70°, find all the other angles.
- RT with rectangle
In the diagram, find the lengths h and b. One rectangle and one right triangle share one side. We know two angles and the length of the common side, as shown in the picture. - Quadrilateral angles in AP
The four angles of a quadrilateral form an arithmetic progression. If the common difference is 15°, then find all the angles. - Consecutive Interior Angles
PQRS is a trapezium in which PQ is parallel to SR and ∠P = 130 ̊, ∠Q = 110 ̊. Find the remaining angles. - Rhombus 36
Rhombus ABCD with side 8 cm long has diagonal BD 11.3 cm long. Find angle DAB. - One side 4
One side of a regular octagon is 12 inches. Find the apothem and its area.
- Two wipers
What A car has two wipers which do not overlap. Each wiper has a blade of length 21 cm, sweeping through an angle of 120°. Find the total area cleaned at each sweep of the blades. - Parallelogram - right angles In parallelogram ABCD; AB = 16 cm, BC = 12 cm and diagonal AC = 20 cm. Find the area of the parallelogram.
- X-triangle
Find the length of the x segment in the given triangle drawings. - Circle graph
Erica surveyed students at her school about their favorite type of music. She made a circle graph to show the results. The central angle for the section of the graph that represents country music measures 72°. If 45 classmates chose the country as their f - The apothem
The apothem of a regular hexagon is 5√3 inches. Find one of its sides and area.
Find the angle between the x-axis and the line joining the points (3, -1) and (4,-2) .Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
