Tangent + Pythagorean theorem - practice problems
Number of problems found: 68
- Tangent of an angle
Suppose the tangent of an angle of a right-angled triangle is 0.8. Then its longest side is: - Goniometric form
Determine the goniometric form of a complex number z = √ 110 +4 i. - Coordinates of square vertices
I have coordinates of square vertices A / -3; 1/and B/1; 4 /. Find coordinates of vertices C and D, C and D. Thanks, Peter. - Pilot
How high is the airplane's pilot to see 0.001 of Earth's surface? - Diagonals
The rhombus has two diagonals, e=14 dm, and f=11 dm. Calculate the side angle and height of the rhombus. - Q-Exam
If tg α = 8.6, Calculating sin α, cos α, cotg α . - Perimeter of triangle
In the triangle, ABC angle A is 60°, angle B is 90°, and side size c is 15 cm. Calculate the triangle circumference. - EQL triangle
Calculate the inradius and circumradius of an equilateral triangle with side a=77 cm. - KLM triangle
Find the length of the sides of the triangle KLM if m = 5cm height to m = 4.5 cm and size MKL angle is 70 degrees. - Regular n-gon
Which regular polygon has a radius of circumscribed circle r = 10 cm and the radius of inscribed circle p = 9.962 cm? - Touch circle
Point A has a distance (A, k) = 10 cm from a circle k with radius r = 4 cm and center S. Calculate: a) the distance of point A from the point of contact T if the tangent to the circle is drawn from point A b) the distance of the contact point T from the l - Tangent
What distance are the tangent t of the circle (S, 4 cm) and the chord of this circle, which is 6 cm long and parallel to the tangent t? - Right
Determine angles of the right triangle with the hypotenuse c and legs a, b, if: 3a +4b = 4.9c - Rectangle
Calculate the length of the side GN and diagonal QN of rectangle QGNH when given: |HN| = 25 cm and angle ∠ QGH = 28 degrees. - Circle annulus
There are two concentric circles in the figure. The chord of the larger circle, 10 cm long, is tangent to the smaller circle. What does annulus have? - Side edges
The regular 4-sided pyramid has a body height of 2 dm, and the opposite side edges form an angle of 70°. Calculate the surface area and volume of the pyramid. - Right angled triangle 3
Side b = 1.5, hypotenuse angle A = 70 degrees, Angle B = 20 degrees. Find the length of its unknown sides. - Cone
Calculate the volume and surface area of the cone with a diameter of the base d=$d cm and the side of the cone with the base has angle $uu. - Trigonometric functions
In the right triangle is: tg α= frac(4) 2 Find the value of s and k: sin α= (s)/(√ 20) cos α= (k)/(√ 20) - V-belt
Calculate the length of the belt on pulleys with diameters of 105 mm and 393 mm at shaft distance 697 mm.
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