Angle - practice problems
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: 1263
- Three angles
Find all missing values of angles using the Law of Cosines if given all sides: a=12, b=13, and c=20 - ABCD rhombus
ABCD is a rhombus with sides 10.5cm. If the length of the diagonal AC=15.8cm, using cosine formula. a. calculate the length of the diagonal BD correct to the nearest cm b. the angles of the rhombus to the nearest degree. - Isosceles right triangle
If I have a triangle with a right angle 24 inches long on each side of the right angle what is the length of the third side? - Triangle 97
Triangle DEF with Ê=40°, F=90° EF = 45mm. Measure DE. - Vertical components
Find the horizontal and vertical components of the vector which has magnitude 750 as shown in the following figure. - Angle of elevation 3
The angle of elevation of a pole from a point on the horizontal ground is 15°. After going up a distance of 10m towards the pole the angle of elevation became 30°.What is the height of the pole? - Building shadow
When Sun's altitude 30° above the horizontal, then find the length of the shadow of a 50 m high of a building . - The shadow 2
The shadow of a tower standing on a level ground is found to be 40 m longer when the Sun’s altitude is 30° than when it is 60°. Find the height of the tower. - Angle over circle
In the figure, O is the center of the circle and AB is tangent at B. If angle OAB is 28 degrees find angle AOB. Figure is not scaled. - Angle of inclination
Find the angle of inclination of a ramp that rise for 80 cm and is 200 cm long. - Tower + pole
On the horizontal plane, there is a vertical tower with a flag pole on its top. At a point 9 m away from the foot if the tower, the angle of elevation of the top and bottom of the flag pole are 60°and 30° respectively. Find the height of the flag pole. - The ratio 21
The ratio between the number of sides of two regular polygon is 1:2 and ratio of sum of their interior angles is 2:3. Find their number of sides. - A tree 3
A tree breaks due to storm and the broken part bends so that the top of the tree touches the ground making an angle 30° with it. The distance between the foot of the tree to the point where the top touches the ground is 8 m. Find the height of the tree. - The angle 9
The angle of elevation of the top of a tower from a point A on the ground is 30°. On moving a distance of 20 m towards the foot of the tower to a point B, the angle of elevation increases to 60°. Find the height of the tower and the distance of the tower - Triangle 90
Triangle made by 6 cm 4.5 cm and 7.5 cm. what angles does it make? - A kite 3
A kite is flying at a height of 60 m above the ground. The string attached to the kite is temporarily tied to a point on the ground. The inclination of the string with the ground is 60°. Find the length of the string, assuming that there is no slack in th - The supplementary angles
Two supplementary angles differ by 50°, find the measure of each angle. - Angle and slope
Find the angle between the x-axis and the line joining the points (3, -1) and (4,-2) . - Angle of elevation
From a point A on the ground, the angle of elevation of the top of a 20 m tall of a building is 45°. A flag is hoisted at the top of the building and the angle of elevation of the top of the flagstaff from A is 60°. Find the length of the flagstaff and th - 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.
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