Algebra - math word problems - page 346 of 353
Number of problems found: 7043
- Ditch
The ditch profile is an isosceles trapezoid with bases of length 80m and 60m. The slope of the sidewall of the ditch is 80°. Calculate the ditch depth. - Balloon and bridge
From the balloon, which is 92 m above the bridge, one end of the bridge is seen at a depth angle of 37° and the second end at a depth angle of 30° 30 '. Calculate the length of the bridge. - Simple right triangle
Right triangle. Given: side c = 18.8 and angle beta = 22° 23'. Calculate sides a, b, angle alpha, and area. - Triangle from median
Calculate the perimeter, area, and magnitudes of the triangle ABC's remaining angles: a = 8.4; β = 105° 35 '; and median ta = 12.5. - The Eiffel Tower
The top of the Eiffel Tower is seen from 600 meters at a 30 degree angle. Find the tower's height. - Arch ground length
The arch has a radius of 3.3 m, a span of 3.25 m, and a height of 20 cm above the ground. What is the length of the arc to reach the ground? - Height of the arc - formula
Calculate the arc's height if the arc's length is 65 and the chord length is 33. Does there exist a formula to solve this? - The ladder
The ladder touches a wall at the height of 7.5 m. The angle of the inclination of the ladder is 76°. How far is the lower end of the ladder from the wall? - Trapezoid angle calculation
In the ABCD trapezoid: | AD | = | CD | = | BC | a | AB | = | AC |. Determine the size of the delta angle. - Diagonals of pentagon
Calculate the diagonal length of the regular pentagon: a) inscribed in a circle of radius 12dm; b) a circumscribed circle with a radius of 12dm. - Aircraft angines
The aircraft's two engines are enough to supply the fuel for five hours of operation. However, one of the engines has malfunctioned and thus consumes one-third more fuel. How long can the plane be in the air before it runs out of fuel? After an hour of ma - The escalator
I run up the escalator constantly in the stairs' direction and write down the number of steps A we climbed. Then we turned around, ran it at the same constant speed in the opposite direction, and wrote down the number of steps B that I climbed. If A = 24 - Triangle calculations
Right triangle. Given: side b = 15.8 angle alpha = 15° 11`. Calculate the side a, c, beta angle, and area. - Water current
John is swimming upstream. After a while, he passes a floating bottle. From that moment, he continues swimming upstream for 20 minutes. He then turns around and swims downstream. From the point where he first passed the bottle, he swims 2 km before meetin - A rhombus
A rhombus has sides of the length of 10 cm, and the angle between two adjacent sides is 76 degrees. Find the length of the longer diagonal of the rhombus. - Field sowing
One tractor would sow the field in 3 hours and the other in 7 hours. How long before the fields grow together? - Trapezoid angles
Trapezoid with sides a = 10, b = 20, c = 25, d = 15. Calculate all internal angles. - Menelaus theorem proof
Show (using Meneal's theorem) that the center of gravity divides the line in a 1:2 ratio. - Decoration
Jerry and Jane decided to decorate their common room. If Jerry painted it alone, it would take her 4 hours, and Jane 3 hours. How long would they paint the room if they painted together? - Tank inlet filling
The tank is filled through three openings, A, B, and C. The simultaneously open inlets A and B are filled in 1 hour, inlets A and C in 45 minutes, and inlets B and C in 1.5 hours. How long would it take to fill each inlet separately?
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