Planimetrics - math word problems - page 181 of 185
Number of problems found: 3687
- Calculate
Calculate the area of triangle ABC if given by alpha = 49°, beta = 31°, and the height on the c side is 9cm. - Altitude difference
Between the resorts is 15 km, and the climb is 13 permille. What is the height difference? - Map - climb
On the map of the High Tatras, on a scale of 1:11000, are cable car stations in the Tatranska Lomnica and the Skalnate Pleso with a distance of 354.6 mm. The altitude of these stations is 949 m and 1760 m. What is the average angle of climb on this cable - Geodesist
Triangle-shaped field (triangle ABC) has a side AB = 129 m. path XY is parallel to the side AB, which divides triangle ABC into two parts with the same area. What will be the length of path XY? Help, please, geodesist. - 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. - Depth angles
At the top of the mountain stands a castle with a tower 30 meters high. We see the crossroad at a depth angle of 32°50' and the heel at 30°10' from the top of the tower. How high is the top of the mountain above the crossroad? - Right triangle eq2
Find the lengths of the sides and the angles in the right triangle. Given area S = 210 and perimeter o = 70. - Perimeter - ASA theorem
Calculate the perimeter of the triangle ABC if a = 12 cm, the angle beta is 38 degrees, and the gamma is 92 degrees. - Right
Determine angles of the right triangle with the hypotenuse c and legs a, b, if: 2a +5b = 5.283c - Decide 2
Decide whether points A[-2, -5], B[4, 3], and C[16, -1] lie on the same line - Fighter
A military fighter flies at an altitude of 10 km. The ground position was aimed at an altitude angle of 23° and 12 seconds later at an altitude angle of 27°. Calculate the speed of the fighter in km/h. - Traffic sign
There is a traffic sign for climbing on the road with an angle of 7%. Calculate at what angle the road rises (falls). - Rhombus 48
A rhombus consists of four identical rhombuses with an area of 42 m². The angle alpha of each rhombus is 60°. What is its perimeter? - Dipole - complex power
For a dipole, calculate the complex apparent power S and the instantaneous value of the current i(t), given: R=10 Ω, C=100uF, f=50 Hz, u(t)= square root of 2 * sin( ωt - 30°). Thanks for any help or advice. - Cosine
Calculate the cosine of the smallest internal angle in a right-angled triangle with cathetus 3 and 8 and the hypotenuse 8.544. - Stairway
What angle rising stairway if the step height is 20 cm and the width 26 cm? - 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? - Goat
The meadow is a circle with a radius r = 20 m. How long must a rope tie a goat to the pin on the meadow's perimeter to allow the goat to eat half of the meadow?
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