Geometry - practice problems - page 8 of 165
Number of problems found: 3289
- Trigonometric fx
When an acute angle φ is in the standard position, its terminal side passes through point P (1,3). Find trigonometric functions of angle θ : sin φ, cos φ, tan φ, cotan φ. - Building shadow
When the Sun's altitude is 30° above the horizontal, find the length of the shadow cast by a 50 m high building. - A boy 5
A boy starts at A and walks 3 km east to B. He then walks 4 km north to C. Find the bearing of C from A. - Vertical components
Find the horizontal and vertical components of the vector which has a magnitude of 750 as shown in the figure. - Angle and slope
Find the angle between the x-axis and the line joining the points (3, −1) and (4, −2). - Hourglass ticks
The hourglass ticks three times in 5 minutes. How many times do they spill in 2 hours? - Line parametric equation
Convert the parametric expression of the straight line to a general equation. x=3-5t y=-4+10t - Supplementary angles 4
Angle A and angle B are supplementary. The measure of angle B is 82.5. What is the measure of angle A in degrees? Enter your answer as a decimal, if necessary, like this: 42.5 - Line - slope intercept form What is 2x−y= 4 in slope intercept form?
- Garrett
Garrett and Jeffrey are planning a treasure hunt. They decide to place a treasure at a point that is a distance of 5 units from the x-axis and three units from the y-axis. Jeffrey places a treasure at point J at coordinates (5,3), and Garrett places one a - Point symmetry coordinates
In the rectangular coordinate system, find the images of points A[-3; 2] and B[4; -5] in central symmetry according to point O[0; 0]. A. A'[3; 2], B'l-4; -5] C. A'[-3; -2], B'[4; 5] B. A'[-3; -2], B'[-4; 5] D. A'[3; -2], B'[-4; 5] - The slope
Find the slope of the line that passes through the following two points: (-3, 16) and (-5, 30) Give your answer as a number, rounded to the nearest tenth, if necessary. - Place vector
Place the vector AB if A (3, -1), B (5,3) in point C (1,3) so that AB = CO. - Perpendicular lines
Points A(1,2), B(4,-2) and C(3,-2) are given. Find the parametric equations of the line that: a) It passes through point C and is parallel to the line AB, b) It passes through point C and is perpendicular to line AB. - Coordinates of vector
Determine the coordinate of a vector u=CD if C(19;-7) and D(-16;-5) - Ant
An ant crawls on the coordinate system always parallel to the coordinate axes. Yesterday it started its journey in the point with coordinates 0. It went 20 squares along the x-axis, made a left turn and went again 20 squares. Again it made a left turn and - Slope
Find the slope of the line: x=t and y=1+t. - Midpoint of segment
Point A has coordinates [4; -11], and the midpoint of segment AB is the point [17; -7]. What are the coordinates of point B? - Perpendicular
What is the slope of the perpendicular bisector of line segment AB if A[-1,-4] and B[-6,-7]? - Line
Line p passes through A[5, -3] and has a direction vector v=(2, 3). Is point B[3, -6] on the line p?
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