Angle practice problems - page 38 of 63
Number of problems found: 1252
- Two bodies
The rectangle with dimensions 8 cm and 4 cm is rotated 360º first around the longer side to form the first body. Then, we similarly rotate the rectangle around the shorter side b to form a second body. Find the ratio of surfaces of the first and second bo
- Calculate: 6679
In the right triangle ABC, we know the right angle γ, the area S = 48 cm2, and the side a = 8 cm. Calculate: pages b, c
- Perpendicular 67174
Calculate the perpendicular s in the right triangle STU (the right angle at the vertex U), if the hypotenuse is long u = 93cm and the perpendicular t = 48 cm
- Isosceles right triangle
The area of an isosceles right triangle is 18 dm². Calculate the length of its base.
- Inclined plane
On the inclined plane with an inclination angle of 30°, we will put the body (fixed point) with mass 9 kg. Determine the acceleration of the body motion on an inclined plane.
- Right-angled 81989
Using Euclid's Theorems and Pythagoras' Theorem, complete the following parameters describing a right-angled triangle ABC with a right angle at vertex C if we know b=10, cb=8
- Inner angles
The inner angles of the triangle are 30°, 45°, and 105° and its longest side is 10 cm. Calculate the shortest side length, and write the result in cm up to two decimal places.
- 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)
- Sun rays
If the sun's rays are at an angle of 60°, then the famous Great Pyramid of Egypt (which is now 137.3 meters high) has a 79.3 m long shadow. Calculate the current height of the neighboring Chephren pyramid, whose shadow is measured at the same time at 78.8
- Two people
Two straight lines cross at right angles. Two people start simultaneously at the point of intersection. John walks at the rate of 4 kph on one road, and Jenelyn walks at the rate of 8 kph on the other road. How long will it take for them to be 20√5 km apa
- Difference 79094
Trapezoid, gamma angle=121°, alpha angle=2 thirds of delta angle. Calculate the angle difference alpha, beta
- Distance 64804
Dan is the square ABCD. At its diagonal AC lies point E. The distance AB is equal to the distance AE. What is the size of the EBC angle?
- Inscribed circle
Calculate the magnitude of the BAC angle in triangle ABC if it is three times less than the angle BOC, where O is the center of the circle inscribed in triangle ABC.
- Circumferential angle
Vertices of the triangle ΔABC lay on the circle and are divided into arcs in the ratio 10:8:7. Determine the size of the angles of the triangle ΔABC.
- Triangle 80994
In the triangle, ABC, the angles alpha and beta axes subtend the angle phi = R + gamma/2. R is a right angle of 90°. Verify.
- Slope
What is the slope of a line with an inclination -325°?
- Tangent of an angle
Suppose the tangent of an angle of a right-angled triangle is 0.8. Then its longest side is:
- Alpha angle
Right triangle. Given: side c = 15.8 and angle alpha = 73°10'. Calculate side a, b, angle beta, and an area.
- Isosceles right triangle
Calculate the area of an isosceles right triangle whose perimeter is 810 cm.
- Triangle ABC
Right triangle ABC with right angle at the C, |BC|=19, |AB|=26. Calculate the height of the triangle hAB to the side AB.
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