# Cotangent - practice problems

In 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

- Cotangent

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. - Pilot

How high is the airplane's pilot to see 0.001 of Earth's surface? - Q-Exam

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. - Building

How high is the building that throws horizontal shadow 85.6 m long at angle 34°12'? - Angle

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? - Tree

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? - Aircraft

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?

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