Tan - examples

  1. Trigonometric functions
    trigonom In right triangle is: ? Determine the value of s and c: ? ?
  2. Building
    Taipei_101 How high is the building that throws horizontal shadow 58.5 m long at angle 36°36'?
  3. River
    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.
  4. Regular 5-gon
    5gon_2 Calculate area of the regular pentagon with side 11 cm.
  5. Steeple
    church_tower 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?
  6. Descent of road
    znacka_klesanie Road sign informs the gradient is 10.5%. Calculate the angle which average decreases.
  7. Angle between lines
    angle_two_lines Calculate the angle between these two lines: ? ?
  8. Maple
    tree_javor 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.
  9. Mast
    stoziar 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'.
  10. n-gon II
    x-gon_1 What is the side length of the regular 9-gon circumscribed circle of radius 13 cm?
  11. Aircraft
    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.
  12. Rectangle
    golden-rectangle-ratio Calculate the length of the side FL and diagonal JL of rectangle JFLB when given: |BL| = 33 cm and angle ∠ JFB = 32 degrees.
  13. Building
    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?
  14. Slope
    slope What is the slope of a line with an inclination 1.06 rad?
  15. Statue
    michelangelo 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.
  16. Tree
    strom 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.
  17. Climb
    scenic_road Road has climbing 1:23. How big is a angle corresponds to this climbing?
  18. Road
    route-66 Average climb of the road is given by ratio 1:29. By what angle road average climb?
  19. Climb
    Mazda_RX7_1 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?
  20. Triangle
    triangle_circle Calculate the area of right triangle ΔABC, if one leg is long 12 and its opposite angle is 31°.

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