Tangent - math word problems - last page
Number of problems found: 314
- Statue
On the pedestal, high 4 m is a statue 2.7 m high. At what distance from the statue must the observer stand to see it at the maximum viewing angle? Distance from the eye of the observer from the ground is 1.7 m. - Triangle
Calculate the area of right triangle ΔABC if one leg has length 12 and the angle opposite to it is 47°. - Angle between lines
Calculate the angle between the following two lines: p: -4x +7y +7 =0 q: -x +4y +7=0 - Mast
A mast casts a shadow of length 16 on a slope that rises from the base of the mast in the direction of the shadow at an angle of 9.7°. Determine the height of the mast if the sun is at an angle of 40°48'° above the horizon. - Trigonometric functions
In a right triangle, it holds that: tg α= frac(4) 2 Find the values of s and k: sin α= (s)/(√ 20) cos α= (k)/(√ 20) - The angle of lines
Calculate the angle between the two lines y = x-8 and y = +12. - V-belt
Calculate the length of a belt running on two pulleys with diameters of 105 mm and 393 mm, with a centre-to-centre distance of 697 mm. - Steeple
A church tower is seen from the road at an elevation angle of 52°. When we move back a further 29 metres, it is seen at an elevation angle of 21°. How tall is the tower? - Glass of juice
A cylindrical glass 13 cm tall with a base diameter of 9 cm is filled with juice to a level 3 cm below the rim. Determine the maximum angle to which the glass can be tilted without the juice spilling. - Descent of road
A road sign shows a gradient of 10.9%. Calculate the angle of inclination of the slope. - Circles
Three circles with radii 30 cm, 28 cm, and 37 cm are mutually tangent externally. What is the perimeter of the triangle whose vertices are the centres of the circles? - Road
Between cities A and B there is a route 9 km long with an average gradient of 9‰ klesanie. Calculate the height difference between cities A and B. - Cube - angles
Calculate the angle alpha (α) between the face diagonal and the base of a cube. Calculate the angle beta (β) between the space diagonal and the base of the cube. - Slope of track
Calculate the average gradient (in per mille and in degrees) of the railway tracks between Prievidza (309 m above sea level) and Horná štubňa (624 m above sea level), given that the track is 37 km long.
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