# Tan - examples

- Trigonometric functions

In right triangle is: ? Determine the value of s and c: ? ? - Building

How high is the building that throws horizontal shadow 58.5 m long at angle 36°36'? - River

From the observatory 18 m high and 26 m from the river bank, river width appears in the visual angle φ = 14°30'. Calculate width of the river. - Regular 5-gon

Calculate area of the regular pentagon with side 11 cm. - Steeple

Steeple seen from the road at an angle of 57°. When we zoom out to 25 meters, it is seen at an angle of 21°. What is high? - Descent of road

Road sign informs the gradient is 10.5%. Calculate the angle which average decreases. - Angle between lines

Calculate the angle between these two lines: ? ? - Maple

Maple peak is visible from a distance 4 m from the trunk from a height of 1.7 m at angle 50°. Determine the height of the maple. - Mast

Mast has 9 m long shadow on a slope rising from the mast foot in the direction of the shadow angle at angle 9.8°. Determine the height of the mast, if the sun above the horizon is at angle 36°6'. - n-gon II

What is the side length of the regular 9-gon circumscribed circle of radius 13 cm? - Aircraft

The plane flies at altitude 6800 m. At the time of first measurement was to see the elevation angle of 20° and second measurement of the elevation angle of 34°. Calculate the distance the plane flew between the two measurements. - Rectangle

Calculate the length of the side FL and diagonal JL of rectangle JFLB when given: |BL| = 33 cm and angle ∠ JFB = 32 degrees. - Building

The building I focused at an angle 30°. When I moved 5 m building I focused at an angle 45°. What is the height of the building? - Slope

What is the slope of a line with an inclination 1.06 rad? - Statue

On the pedestal high 2.3 m is statue 3.3 m high. At what distance from the statue must observer stand to see it in maximum viewing angle? Distance from the eye of the observer from the ground is 1.5 m. - Tree

How tall is the tree that observed in the visual angle of 52°? If I stand 5 m from the tree and eyes are two meters above the ground. - Climb

Road has climbing 1:23. How big is a angle corresponds to this climbing? - Road

Average climb of the road is given by ratio 1:29. By what angle road average climb? - Climb

On the road sign, which informs the climb is 20%. Car goes 5 km along this road. What is the height difference that car went? - Triangle

Calculate the area of right triangle ΔABC, if one leg is long 12 and its opposite angle is 31°.

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