Goniometry and trigonometry - practice problems - page 8 of 31
Number of problems found: 617
- Maggie
Maggie observes a car and a tree from a window. The angle of depression of the car is 45 degrees, and that of the tree is 30 degrees. If the distance between the vehicle and the tree is 100 m, find Maggie's distance from the tree. - Ladder slope
What is the slope of a ladder 6.2 m long and 5.12 m in height? - Chord - TS
The radius of circle k measures 68 cm. Arc GH = 47 cm. What is TS? - Diagonals
The rhombus has two diagonals, e=14 dm, and f=11 dm. Calculate the side angle and height of the rhombus. - Triangle
Calculate the area of the right triangle ΔABC if one leg is long 12 and its opposite angle is 47°. - Hole's angles
I am trying to find an angle. The top of the hole is .625", and the bottom of the hole is .532". The hole depth is .250". What is the angle of the hole (and what is the formula)? - Elevation 80866
Find the height of the tower when the geodetic measured two angles of elevation α=34° 30'' and β=41°. The distance between places AB is 14 meters.
- Horizontal 84047
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? - Difference 81888
The ropeway climbs at an angle of 22°30'. Calculate its length if the height difference between the lower and upper station is 560m. Sketch a picture - The airplane
The airplane sights a runway at an angle of depression of 23°. It is flying at an altitude of 3 kilometers above the ground. What is the horizontal distance of the airplane from the airport? - Equilateral 5140
I have a circle with a diameter of 6.4 cm. I need to find out the length of the side of an equilateral triangle inscribed in a circle. - Cross-section - trapezoid
The cross-section of the channel has the shape of a trapezoid. The bottom width is 2.25 m, and the depth is 5 m. The walls have a slope of 68°12' and 73°45'. Calculate the upper channel width. - Vertically 82162
The pole is stuck vertically into the ground. The protruding length is 1m. What is the length of the shadow cast when the sun is just 50° above the horizon? - Mirror
The dimensions of the mirror are 750mm x 700mm, the mirror should be tilted 8° from the wall. How many cm must it be tilted from the wall? - Dodecagon
Find the area of a regular dodecagon (n=12) if the radius of the circumscribed circle is 5 cm.
- An angle
An angle x is opposite side AB which is 10, and side AC is 15, which is the hypotenuse side in triangle ABC. Calculate angle x. - View angle
From a tower 20 m high and 20 m away from the river, the width of the river appears to be at an angle of 15°. How wide is the river at this location? - 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? - An angle of depression
The lighthouse sees a ship at an angle of depression of 25°. The observer from the lighthouse is 82 m above sea level. How far is the ship from the top of the lighthouse? - Cosine
The point (3, 4) is on the terminal side of angle θ. cos θ = ...
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Most natural application of trigonometry and trigonometric functions is a calculation of the triangles. Common and less common calculations of different types of triangles offers our triangle calculator. Word trigonometry comes from Greek and literally means triangle calculation.
