Tan - examples
- Trigonometric functions
In right triangle is: ? Determine the value of s and c: ? ?
How high is the building that throws horizontal shadow 58.5 m long at angle 36°36'?
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 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 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 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?
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.
Calculate the length of the side FL and diagonal JL of rectangle JFLB when given: |BL| = 33 cm and angle ∠ JFB = 32 degrees.
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?
What is the slope of a line with an inclination 1.06 rad?
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.
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.
Road has climbing 1:23. How big is a angle corresponds to this climbing?
Average climb of the road is given by ratio 1:29. By what angle road average 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?
Calculate the area of right triangle ΔABC, if one leg is long 12 and its opposite angle is 31°.