Goniometry and trigonometry - math word problems - page 22 of 32
Number of problems found: 629
- Triangulation - 3 places
Determine the distance between two inaccessible places K, L, if the angles KAL=62°10", LAB=41°23", KBL=66°34", and LBA were measured from points A, B, which are 870 m apart = 34°52". Thank you. - Circular railway
The railway connects points A, B, and C in a circular arc, whose distances are | AB | = 30 km, AC = 95 km, and BC | = 70 km. How long will the track be from A to C? - Lift
The largest angle at which the lift rises is 16°31'. Give climb angle in permille. - Four sides of trapezoid
In the trapezoid ABCD is |AB| = 73.6 mm; |BC| = 57 mm; |CD| = 60 mm; |AD| = 58.6 mm. Calculate the size of its interior angles. - Goat and circles
What is the radius of a circle centered on the other circle, and is the intersection of the two circles equal to half the area of the first circle? This task is the mathematical expression of the role of agriculture. The farmer has circular land on which - Ratio in trapezium
The ratio of the height v and the base a, c in the trapezoid ABCD is 1:6:3. Its area is 324 square cm, and the peak angle B is 35 degrees. Determine the perimeter of the trapezoid. - Powerplant chimney
From the building window at the height of 7.5 m, we can see the top of the factory chimney at an altitude angle of 76° 30 ′. We can see the chimney base from the same place at a 5° 50 ′ depth angle. How tall is the chimney? - Vector sum
The magnitude of the vector u is 2 and the magnitude of the vector v is 11. The angle between vectors is 64°. What is the magnitude of the vector u + v? - Regular octagon pad
You need to make a pad in the shape of a regular octagon with a side length of 4 cm. What is the minimum diameter of the circle-shaped semi-finished product from which we make the pad, and what will be the percentage of waste? (Round the results to 1 deci - Square Lounge Drunken Shopper
After a long dinner, inside a lounge in the shape of a square ABCD, a drunken shopper E lies in such a way that the triangle DEC is equilateral. Spy F lies on the edge of BC, with |EB|=|EF|. What is the size of the angle CEF? - 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. - Stairway
What angle rising stairway if the step height is 20 cm and the width 26 cm? - Vectors
Find the magnitude of the angle between two vectors u = (3; -5) and v = (10; 6) - Triangle area and angle
Calculate the area of the triangle ABC, in which you know the side c=5 cm, the angle at the vertex A= 70 degrees, and the ratio of the segments cut by the height to the side c is 1:3 . - Angle of inclination
What percentage of the gradient should be indicated on the mark if the angle of inclination of the road is 6°25'? - Railway line
The straight railway line has a gradient of 16 permille. What is the size of the pitch angle? - Straight road
The straight road has a rise of 19%. How big is the pitch angle? - Angle of climb
At what angle does the road rise if the climb is 10%? - Road drop
A 12 percent drop is marked on a straight stretch of road. What angle aligns the direction of the road with the horizontal plane? - Triangle in circle
The vertices of the triangle ABC lie on a circle with a radius 3, which is divided into three parts in the ratio 4:4:4. Calculate the circumference of the triangle ABC.
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