Tangent - practice problems - page 2 of 14
Tangent is a trigonometric function. In a rectangular triangle, it is the ratio of the opposite and adjacent side to a given internal angle. Algebraically is defined as the ratio of the sine and cosine of a given angle. It is periodic with a period of π = 180 °.Number of problems found: 270
- Pentagonal pyramid
Calculate the volume of a regular 5-side (pentaprism) pyramid ABCDEV; if |AB| = 7.7 cm and a plane ABV, ABC has angle 37 degrees. - Diagonals
The rhombus has two diagonals, e=14 dm, and f=11 dm. Calculate the side angle and height of the rhombus. - Q-Exam
If tg α = 8.6, Calculating sin α, cos α, cotg α . - The staircase
The staircase has a total height of 3.6 m and forms an angle of 26° with the horizontal. Calculate the length of the whole staircase. - Isosceles trapezoid
Isosceles trapezoid ABCD, AB||CD is given by |CD| = c = 12 cm, height v = 16 cm and |CAB| = 20°. Calculate area of the trapezoid. - Maple
The maple peak is visible from a distance of 3 m from the trunk from a height of 1.8 m at an angle of 62°. Find the height of the maple. - Road
The average climb of the road is given by ratio 1:15. By what angle does road moderate climb? - The apothem
The apothem of a regular hexagon is 5√3 inches. Find one of its sides and area. - Inscribed and described circle
Find the radii of a circle inscribed and circumscribed by a regular pentagon whose side measures 3 cm. - Rhombus
ABCD is a rhombus, ABD is an equilateral triangle, and AC is equal to 4. Find the area of the rhombus. - Bevel
I have a bevel in the ratio 1:6. What is the angle, and how do I calculate it? - Climb
The road has climbing 1:27. How big is an angle correspond to this climbing? - A right
A right triangle has side lengths a=3, b=5, and c=4, as shown below. Use these lengths to find tan x, sin x, and cos x. - The ladder
The ladder makes an angle of 2°30' with the wall and reaches a height of 2.3 m. How far is the ladder from the wall? - Angle of climb
At what angle does the road rise if the climb is 10%? - Perimeter of triangle
In the triangle, ABC angle A is 60°, angle B is 90°, and side size c is 15 cm. Calculate the triangle circumference. - High wall
I have a wall 2m high. I need a 15-degree angle (upward) to the second wall 4 meters away. How high must the second wall be? - EQL triangle
Calculate the inradius and circumradius of an equilateral triangle with side a=77 cm. - N-gon II
What is the side length of the regular 9-gon circumscribed circle of radius 13 cm? - Base/hang/length 81468
A right triangle has a base/hang/length of 12 cm, and the angle with the hypotenuse is 13 degrees. What is the length of the second hypotenuse?
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