Tangent - math word problems - page 15 of 16
Number of problems found: 306
- Reflector
The circular reflector throws a light cone with a vertex angle 56° and is on 24 m height tower. The axis of the light beam has the axis of the tower angle 11°. What is the maximum length of the illuminated horizontal plane? - Two boats
Two boats are located from a height of 150m above the lake's surface at depth angles of 57° and 39°. Find the distance of both boats if the sighting device and both ships are in a plane perpendicular to the lake's surface. - Stairway
What angle rising stairway if the step height is 20 cm and the width 26 cm? - River
From the observatory 18 m high and 31 m from the riverbank, river width appears in the visual angle φ = 20°. Calculate the width of the river. - Building
How high is the building that throws horizontal shadow 85.6 m long at angle 34°12'? - Slope
What is the slope of a line with an inclination -325°? - Regular 5-gon
Calculate the area of the regular pentagon with side 16 cm. - Trapezoid MO
The rectangular trapezoid ABCD with the right angle at point B, |AC| = 12, |CD| = 8, diagonals are perpendicular to each other. Calculate the perimeter and area of the trapezoid. - Cotangent
If the angle α is acute, and cotan α = 1/3. Determine the value of sin α, cos α, and tan α. - Right
Determine angles of the right triangle with the hypotenuse c and legs a, b, if: 5a +5b = 7c - Climb
The road has climbing 1:28. How big is the angle that corresponds to this climbing? - Pentagon
Calculate the area of a regular pentagon whose diagonal is u=18 long. - 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 the right triangle ΔABC if one leg is long 12 and its opposite angle is 47°. - Angle between lines
Calculate the angle between these two lines: p: -4x +7y +7 =0 q: -x +4y +7=0 - Mast
The mast has 16 a long shadow on a slope rising from the mast foot in the direction of the shadow angle at angle 9.7°. Determine the height of the mast if the sun above the horizon is at an angle 40°48'. - Trigonometric functions
In the right triangle is: tg α= frac(4) 2 Find the value of s and k: sin α= (s)/(√ 20) cos α= (k)/(√ 20) - The angle of lines
Calculate the angle of two lines y=x-8 and y=+12 - V-belt
Calculate the length of the belt on pulleys with diameters of 105 mm and 393 mm at shaft distance 697 mm. - Steeple
The church tower is seen from the road at an angle of 52°. When we zoom out to 29 meters away, it can be seen at an angle of 21°. How high is it?
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