# Arcsine - practice problems

The arcsine is the inverse of the trigonometric sine function. The argument of the function is a number (ratio of the length of the opposite side to the hypotenuse), and the output is the angle in radians.Direction: Solve each problem carefully and show your solution in each item.

#### Number of problems found: 43

- Isosceles triangle

What are the angles of an isosceles triangle ABC if its base is long a=5 m and has an arm b=4 m? - Sine

In the triangle Δ ABC, if sin α =0.8 and sin β =0.6 Calculate sin γ. - An angle

An angle x is opposite side AB which is 10, and side AC is 15, which is the hypotenuse side in triangle ABC. Calculate angle x. - The aspect ratio

The aspect ratio of the rectangular triangle is 13:12:5. Calculate the internal angles of the triangle. - Largest angle of the triangle

Calculate the largest angle of the triangle whose sides have the sizes: 2a, 3/2a, 3a - Ladder slope

What are the slope of a ladder 6.2 m long and 5.12 m in height? - Medians of isosceles triangle

The isosceles triangle has a base ABC |AB| = 16 cm and a 10 cm long arm. What is the length of the medians? - IS triangle

Calculate interior angles of the isosceles triangle with base 40 cm and legs 22 cm long. - Angles

Find the interior angles of a rhombus with area 319.1 cm² and perimeter 72 cm. - Jewel

Rhombus-shaped jewel has an area of 93 mm², and the edge is long 13.2 mm. Calculate the size of the acute rhombus angle. - Right triangle

The ladder 16 feet reaches up 14 feet on a house wall. The 90-degree angle at the base of the house and wall. What are the other two angles or the length of the leg of the yard? - Church tower

Archdeacon church in Usti nad Labem has diverted the tower by 186 cm. The tower is 65 m high. Calculate the angle by which the tower is tilted. Results write in degree minutes. - Isosceles triangle 8

If the rate of the sides of an isosceles triangle is 7:6:7, find the base angle correct to the nearest degree. - Angle in RT

Determine the size of the smallest internal angle of a right triangle whose sides constitute the sizes of consecutive members of arithmetic progressions. - Acceleration 79164

A skier goes down a slope 66 m long in a uniformly accelerated motion in 10 seconds. With what acceleration was it moving, and what is the slope of the slope? - Hexagon ABCDEF

In the regular hexagon ABCDEF, the diagonal AE has a length of 8cm. Calculate the circumference and the hexagon area. - Cablecar

Funicular on Petrin (Prague) was 408 meters long and overcame the difference of 106 meters in altitude. Calculate the angle of the climb. - Ratio iso triangle

The ratio of the sides of an isosceles triangle is 7:6:7. Find the base angle to the nearest answer correct to 3 significant figures. - Toboggan 5710

The length of the toboggan run is 60 m, and the height is 8 m. The boy pulls a sled weighing 15 kg. How hard does the boy pull the sled uphill? - Right triangle eq2

Find the lengths of the sides and the angles in the right triangle. Given area S = 210 and perimeter o = 70.

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