Cotangent - practice problemsIn a right triangle, the cotangent is defined as the ratio of the adjacent perpendicular to the opposite perpendicular. It is the reciprocal value of the tangent of a given angle.
Direction: Solve each problem carefully and show your solution in each item.
Number of problems found: 37
If the angle α is acute, and cotan α = 1/3. Determine the value of sin α, cos α, and tan α.
- One side 4
One side of a regular octagon is 12 inches. Find the apothem and its area.
How high is the airplane's pilot to see 0.001 of Earth's surface?
If tg α = 8.6, Calculating sin α, cos α, cotg α .
- The ladder
The ladder touches a wall at the height of 7.5 m. The angle of the inclination of the ladder is 76°. How far is the lower end of the ladder from the wall?
- Regular 5-gon
Calculate the area of the regular pentagon with side 7 cm.
- KLM triangle
Find the length of the sides of the triangle KLM if m = 5cm height to m = 4.5 cm and size MKL angle is 70 degrees.
How high is the building that throws horizontal shadow 85.6 m long at angle 34°12'?
A straight line p given by the equation y = (-8)/(6) x +78. Calculate the size of the angle in degrees between line p and y-axis.
- Determine 6829
Determine the value of the function tg x (tangens) when cotg x = -0.8 (cotangent); x holds in the second quadrant)
- Depth angle
From a cliff of 150 meters high, we can see the ship at a depth angle of 9° at sea. How far is the ship from the cliff?
- Isosceles 81130
The angle at the apex of an isosceles triangle is 78°. Base 28.5cm. Shoulder length?
Between points A and B is 50m. From A, we see a tree at an angle of 18°. From point B, we see the tree at a three times bigger angle. How tall is a tree?
The plane flies at altitude 6500 m. At the time of the first measurement was to see the elevation angle of 21° and the second measurement of the elevation angle of 46°. Calculate the distance the plane flew between the two measurements.
- How far
From the top of a lighthouse 145 ft above sea level, the angle of depression of a boat is 29°. How far is the boat from the lighthouse?
- Depth angles
At the top of the mountain stands a castle with a tower 30 meters high. We see the crossroad at a depth angle of 32°50' and the heel at 30°10' from the top of the tower. How high is the top of the mountain above the crossroad?
- Traffic sign
There is a traffic sign for climbing on the road with an angle of 7%. Calculate at what angle the road rises (falls).
- TV tower
Calculate the height of the television tower if an observer standing 430 m from the base of the tower sees the peak at an altitude angle of 23°.
- Balloon and bridge
From the balloon, which is 92 m above the bridge, one end of the bridge is seen at a depth angle of 37° and the second end at a depth angle of 30° 30 '. Calculate the length of the bridge.
- Observation tower
The observation tower has a height of 105 m above sea level. The ship is aimed at a depth angle of 1° 49' from the tower. How far is the ship from the base of the tower?
See also more information on Wikipedia.