Goniometry and trigonometry - math word problems - page 20 of 32
Number of problems found: 634
- Tower's view
From the church tower's view at 65 m, the top of the house can be seen at a depth angle of alpha = 45° and its bottom at a depth angle of beta = 58°. Calculate the house's height and its distance from the church. - Hexagonal prism angle
The given is a regular hexagonal prism ABCDEFGHIJKL, which has all edges of the same length. Find the degree of the angle formed by the lines BK and CL in degrees. - Rhombus
ABCD is a rhombus, ABD is an equilateral triangle, and AC is equal to 4. Find the area of the rhombus. - Crosswind
A plane is traveling 45 degrees N of E at 320 km/h when it comes across a current from S of E at 115 degrees of 20 km/h. What are the airplane's new course and speed? - In plane 2
Triangle ABC lies in the plane with a right angle at vertex C, where A(1, 2), B(5, 2), C(x, x+1), and x > −1. a) Determine the value of x. b) Determine the coordinates of point M, the midpoint of segment AB. c) Prove that vectors AB and CM are perpendi - Forces
Forces with magnitudes F1 = 42 N and F2 = 35 N act at a common point and make an angle of 77°12'. How big is their resultant? - Two forces
The two forces, F1 = 580 N and F2 = 630 N, have an angle of 59 degrees. Calculate their resultant force, F. - Climb
A road has a gradient of 1:26. What angle of inclination does this correspond to? - A man 7
A man wandering in the desert walks 3.8 miles in the direction of S 44° W. He then turns and walks 2.2 miles toward N 55° W. At that time, how far is he from his starting point? (Round your answer to two decimal places.) - Cone roof consumption
The roof of a tower has the shape of a lateral surface of a cone with a base diameter of 4.3 m. The angle between the slant side and the base plane is 36°. Calculate the amount of sheet metal needed to cover the roof, allowing 8% for waste. - Tunnel - quadrilateral
How long will tunnel AB be, given distances AD = 35 m, DC = 120 m, CB = 85 m, angle ADC = 105°, and angle BCD = 71°, where ABCD is a quadrilateral? - Slope
What is the slope of a line with an inclination -325°? - Perpendicular and parallel
Find the value of t if 2tx+5y-6=0 and 5x-4y+8=0 are perpendicular and parallel lines. What angle does each line make with the x-axis, and find the angle between the lines? - Mast
A mast casts a shadow of length 16 on a slope that rises from the base of the mast in the direction of the shadow at an angle of 9.7°. Determine the height of the mast if the sun is at an angle of 40°48'° above the horizon. - Decide 2
Decide whether points A[-2, -5], B[4, 3], and C[16, -1] lie on the same line - Airplane navigation
An airplane leaves an airport and flies west 120 miles and then 150 miles in the direction S 35.95°W. How far is the plane from the airport (round to the nearest mile)? - Road gradient angle
On the traffic sign that informs about the road's gradient, the figure is 6.7%. Determine the slope angle of the path. What height difference is covered by the car that traveled 2.8 km on this road? - Isosceles Triangle Interior Angles
The area of the isosceles triangle is 8 cm2, and its arm's length is 4 cm. Calculate the sizes of its interior angles. - Cosine
Calculate the cosine of the smallest internal angle in a right-angled triangle with leg 3 and 8 and the hypotenuse 8.544. - Quadrilateral - irregular
Find the length of side d = |AD| in quadrilateral ABCD: a = 35 m, b = 120 m, c = 85 m, angle ABC = 105°, angle BCD = 72°.
Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
