Goniometry and trigonometry - math word problems - page 21 of 28
Number of problems found: 559
- 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)? - SAS calculation
Given the triangle ABC, if side b is 31 ft., side c is 22 ft., and angle A is 47°, find side a. Please round to one decimal. - Isosceles right triangle
Calculate the area of an isosceles right triangle whose perimeter is 810 cm. - Magnitudes 64704
The triangle ABC determines the size of the sides a and b and the magnitudes of the interior angles β and γ, given c = 1.86 m, the line on the side c is 2.12 m, and the angle alpha is 40 ° 12 '.
- Instantaneous 37201
The amplitude of the linear undamped harmonic oscillator is A = 12 cm, and the frequency f = 15 Hz. What is its instantaneous deflection at time a) t1 = 0.02s, b) t2 = 0.04s, when it was zero at time t = 0 s? - Rhombus
Internal angles of a rhombus are in ratio 2:3. How many times is the shorter diagonal longer than the side of the rhombus? - Calculate 82578
The vertices of triangle ABC are: A[1, 2, -3], B[0, 1, 2], C[2, 1, 1]. Calculate the lengths of sides AB, AC and the angle at vertex A. - Observer 64354
At what angle of view does an object 70 m long appear to the observer, 50 m away from one end, and 80 m from the other end? - The aspect ratio
The aspect ratio of the rectangular triangle is 13:12:5. Calculate the internal angles of the triangle.
- 3 phase load
Two wattmeters are connected to measure power in a 3 phase balanced load. Determine the total power and power factor if the two wattmeters read 1000 watts each (1) both positive and (2) the second reading is negative. - Isosceles triangle 8
If the rate of the sides of an isosceles triangle is 7:6:7, find the base angle correct to the nearest degree. - Oscillating 37271
Calculate the oscillation time T of the undamped harmonic oscillating motion of a particle of mass m = 10 g if the force holding the particle in this motion has a value of F = 0,05 N at a deflection of x = 3 cm. - Cuboids
Two separate cuboids with different orientations are in space. Determine the angle between them, knowing the direction cosine matrix for each separate cuboid. u1=(0.62955056, 0.094432584, 0.77119944) u2=(0.14484653, 0.9208101, 0.36211633) - Cosine
Cosine and sine theorem: Calculate all missing values (sides and angles) of the triangle ABC. a = 20 cm; b = 15 cm; γ = 90°; c =? cm; α =? °; β =? °
- Simple right triangle
Right triangle. Given: side c = 18.8 and angle beta = 22° 23'. Calculate sides a, b, angle alpha, and area. - Minutes 7700
At what angle does the road rise if the climb is 8%? They rounded up for tens of minutes. - Calculate 6219
Right triangle. Given: side b = 15.8 angle alpha = 15° 11`. Calculate the side a, c, beta angle, and area. - Vectors
Find the magnitude of the angle between two vectors u = (3; -5) and v = (10; 6) - Periodicity 81597
Simplify by using periodicity cos 1125°
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