Unit conversion of Angle Problems
Number of problems found: 491
- Three angles
Find all missing angle values using the Law of Cosines, given all three sides: a = 12, b = 13, and c = 20 - ABCD rhombus
ABCD is a rhombus with sides of 10.5 cm. If the length of diagonal AC = 15.8 cm, use the cosine rule to: a. calculate the length of diagonal BD to the nearest centimetre, b. find the angles of the rhombus to the nearest degree. - Triangle 97
Triangle DEF with angle Ê = 40°, angle F = 90°, EF = 45 mm. Find the length of DE. - Vertical components
Find the horizontal and vertical components of the vector which has a magnitude of 750 as shown in the figure. - Angle of elevation 3
The angle of elevation of a pole from a point on the horizontal ground is 15°. After moving 10 m closer to the pole, the angle of elevation becomes 30°. What is the height of the pole? - Building shadow
When the Sun's altitude is 30° above the horizontal, find the length of the shadow cast by a 50 m high building. - The shadow 2
The shadow of a tower standing on 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 of inclination
Find the angle of inclination of a ramp that rises 80 cm over a horizontal length of 200 cm. - Tower + pole
On horizontal ground, there is a vertical tower with a flagpole on its top. From a point 9 m from the foot of the tower, the angles of elevation of the top and bottom of the flagpole are 60° and 30° respectively. Find the height of the flagpole. - A tree 3
A tree breaks due to a storm and the broken part bends so that the top of the tree touches the ground at an angle of 30°. The distance from the foot of the tree to the point where the top touches the ground is 8 m. Find the original 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 20 m closer to 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 from point A - Triangle 90
A triangle has sides of 6 cm, 4.5 cm, and 7.5 cm. What are the sizes of its angles? - 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 - 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 building is 45°. A flag is hoisted at the top of the building, and the angle of elevation of the top of the flagpole from A is 60°. Find the length of the flagpole and the dist - 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. - 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 - 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? - 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.
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