Angle - practice problems - page 2 of 64
Number of problems found: 1264
- Two men 2
Two men are on opposite sides of a tower. They measure the angles of elevation of the top of the tower as 30° and 45°, respectively. If the height of the tower is 50 m, find the distance between the two men. - 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. - The supplement
The supplement of an angle is four times its complement. Find the angle. - Minimum interior angle
What is the minimum interior angle possible for a regular polygon? - Hands of a clock
At what time between 11 and 12 O'clock will the hands of a clock be at an angle of 180°? - Elevation angle
A man standing on the deck of a ship, which is 10 m above the water level, observes the angle of elevation of the top of a hill as 60°, and angle of depression of the base of the hill is 30°. Find the distance of the hill from the ship and the height of t - Interior angles 4
How many degrees are in the sum of the interior angles of a quadrilateral? - 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. - Number of sides
Find the number of sides of a regular polygon whose each exterior angle has a measure of 45°. - Tuesday temperature
The temperature on Monday was -23°F. The temperature on Tuesday was 18° higher. What was the temperature on Tuesday? - Angle of elevation
The angle of elevation of the top of an unfinished pillar at a point 150 m from its base is 30°. If the angle of elevation at the same point is to be 45°, then the pillar has to be raised to a height of how many meters? - Two vertically
Two vertically opposite angles are (x-20)° and 85°; then, find the value of x. - 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 - The tent 3
The top of a 1.3 meters tall tent is tethered to the ground by a cable. The cable makes a 37 degrees angle with the ground. Find the cable length. - Two angles
If one angle of a parallelogram is 24° less than twice the smallest angle, then find the largest angle of the parallelogram. - At 5:16
At 5:16, what is the acute angle between a minute hand and an hour hand? - Parallelogram - right angles
In parallelogram ABCD; AB = 16 cm, BC = 12 cm and diagonal AC = 20 cm. Find the area of the parallelogram. - The reflection law
AB is a mirror, PQ is the incident ray, and QR is the reflected ray. If angle PQR = 112°, find angle PQA. - Complement and supplement
Find the measure of an angle if 7 times its complement is 10° less than 3 times its supplement. - An electrician 7
An electrician has to repair an electric fault on a pole 4 meters in height. He needs to reach a point 1 m below the top. What should be the length of the ladder that he could use, when inclined at an angle 60° to the horizontal?
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