Angle practice problems - page 21 of 61
Number of problems found: 1215
- Airplane navigation
An airplane leaves an airport and flies west 120 miles and then 150 miles in the direction S 32.12°W. How far is the plane from the airport (round to the nearest mile)?
- Semicircle
Calculate the length of a semicircle with a radius of 6cm.
- Triangle KLM
In the rectangular triangle KLM, where |KL|=m is the hypotenuse (sketch it!). Find the length of the leg k and the height of triangle h if the hypotenuse's segments are known MK = 5cm and ml = 15 cm.
- Calculate 83431
In triangle ABC, the size of the exterior angle at vertex C is equal to 126°. The size of the internal angles at vertices A and B are in the ratio 5: 9. Calculate the size of the internal angles α, β, γ of triangle ABC.
- Isosceles 7661
The area of the isosceles triangle is 8 cm2, and its arm's length is 4 cm. Calculate the sizes of its interior angles.
- Triangle in a square
In a square ABCD with side a = 6 cm, point E is the center of side AB, and point F is the center of side BC. Calculate the size of all angles of the triangle DEF and the lengths of its sides.
- Right triangle
Calculate the unknown side b and interior angles, perimeter, and area of a right triangle if a=10 cm and hypotenuse c = 16 cm.
- Acute triangle
In the acute triangle KLM, V is the intersection of its heights, and X is the heel of height to the side KL. The axis of the angle XVL is parallel to the side LM, and the angle MKL is 70°. What size are the KLM and KML angles?
- Beer
After three 10° beers consumed in a short time, there is 5.2 g of alcohol in 5 kg adult human blood. How much is it per mille?
- Median
In the ABC triangle is given side a=10 cm and median to side a: ta= 13 cm, and angle gamma 90°. Calculate the length of the median to side b (tb).
- Clock's 38311
How far apart are the tips of the clock's hands in 3 hours if the larger hand is 124 mm long and the smaller 75 mm?
- Shadow 73354
How long is the shadow of a tree 7.6 m high, and the shadow of a 190 cm high road sign is 3.3 m long?
- Approximation of tangent fx
What is the nontrigonometric formula (not a polynomial fit) for the growth curve that solves algebraically for the increase between tan(1 degree) and tan(2 degrees) continuing up to the tangent(45 degrees)? Okay, to use pi Check calculation for 12°.
- A boy
A boy of 1.7m in height is standing 30m away from the flagstaff on the same level ground. He observes that the angle of deviation of the top of the flagstaff is 30 degrees. Calculate the height of the flagstaff.
- Heron backlaw
Calculate the unknown side in a triangle with sides 39 and 38 and area 438.6.
- Mast shadow
The mast has a 13 m long shadow on a slope rising from the mast foot toward the shadow angle at an angle of 15°. Determine the height of the mast if the sun above the horizon is at an angle of 33°. Use the law of sines.
- Boat
A force of 300 kg (3000 N) is required to pull a boat up a ramp inclined at 14° with horizontal. How much does the boat weigh?
- 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.
- Triangle SSA
Construct a triangle ABC if |AB| = 5cm va = 3cm, CAB = 50 °. It is to create the analysis and construction steps.
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