Angle + absolute value - practice problems
Number of problems found: 27
- Modulus and argument
Find the mod z and argument z if z=i - Goniometric form
Determine the goniometric form of a complex number z = √ 110 +4 i. - The temperature 30
The temperature in hubby's office is 16 degrees Celsius, and the temperature outside his office is negative 7 degrees Celsius. What is the difference in temperature in these two places? - Warmer weather
This morning it was -6 °C. What temperature did the thermometer show yesterday if it was three times warmer? - 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. - 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. - Alfa beta gama
The triangle's interior angle beta is 10 degrees greater than the angle alpha, and the gamma angle is three times larger than the beta. Determine the size of the interior angles. - Moivre 2
Find the cube roots of 125(cos 288° + i sin 288°). - Lighthouse
Marcel (point J) lies in the grass and sees the top of the tent (point T) and, behind it, the top of the lighthouse (P). | TT '| = 1.2m, | PP '| = 36m, | JT '| = 5m. Marcel lies 15 meters away from the sea (M). Calculate the lighthouse distance from the s - Airplane navigation
An airplane leaves an airport and flies west 120 miles and then 150 miles in the direction S 44.1°W. How far is the plane from the airport (round to the nearest mile)? - Calculate 83160
Calculate the distance of point A[ 4; 2; -3 ] from the plane : 2x - 2y + z + 5 = 0 - Clocks 5511
What angle do the clocks make at 4:30? - Determine 8202
An observer watches two boats at depth angles of 64° and 48° from the top of the hill, which is 75 m above the lake level. Determine the distance between the boats if both boats and the observer are in the same vertical plane. - Angle of the body diagonals
Using the vector dot product calculate the angle of the body diagonals of the cube. - Parametrically 6400
Find the angle of the line, which is determined parametrically x = 5 + t y = 1 + 3t z = -2t t belongs to R and the plane, which is determined by the general equation 2x-y + 3z-4 = 0. - In the desert
A man wondering in the desert walks 5.7 miles in the direction S 26° W. He then turns 90° and walks 9 miles in the direction N 49° W. At that time, how far is he from his starting point, and what is his bearing from his starting point? - Calculate 71744
The triangle that connects on the dial: a) 2,7,9 b) 3,6,10 Calculate the size of the interior angles - Angle's 7852
The hour and minute hands on the clock face make an alpha angle. If you know it's 10 hours and 12 minutes, what is the angle's size? - Clock Tower
What angle is between hands-on Clock Tower when it shows 17 hours and 35 minutes? - Compass
What angle is between directions SSE (SouthSouthEast) and SW (SouthWest) on the compass?
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