# Arccosine - practice problems

Direction: Solve each problem carefully and show your solution in each item.#### Number of problems found: 41

- Greatest angle

Calculate the greatest triangle angle with sides 197, 208, 299. - Angle of the body diagonals

Using the vector dot product calculate the angle of the body diagonals of the cube. - The aspect ratio

The aspect ratio of the rectangular triangle is 13:12:5. Calculate the internal angles of the triangle. - Sphere in cone

A sphere of radius 3 cm describes a cone with minimum volume. Determine cone dimensions. - Substitution method

Solve a goniometric equation: sin^{4}θ - 1/cos² θ=cos² θ - 2 - Angle between vectors

Find the angle between the given vectors to the nearest tenth degree. u = (6, 22) and v = (10, -11) - Gon functions

Decide which numbers (values of trigonometric functions) are positive or negative (or zero). Positive mark +1 and negative -1. - The angle of view

Determine the angle of view at which the observer sees a rod 16 m long when it is 18 m from one end and 27 m from the other. - A rectangle 5

A rectangle has sides of 10 cm and 14 cm. Calculate the angle between a diagonal and a long side. - IS triangle

Calculate interior angles of the isosceles triangle with base 40 cm and legs 22 cm long. - Isosceles 4741

The arm is five times longer than its base in an isosceles triangle. Calculate its interior angles. - Calculate 2

Calculate the largest angle of the triangle whose sides are 5.2cm, 3.6cm, and 2.1cm - Angles by cosine law

Calculate the size of the angles of the triangle ABC if it is given by: a = 3 cm; b = 5 cm; c = 7 cm (use the sine and cosine theorem). - Four sides of trapezoid

In the trapezoid ABCD is |AB| = 73.6 mm; |BC| = 57 mm; |CD| = 60 mm; |AD| = 58.6 mm. Calculate the size of its interior angles. - Two forces 3

Two forces with magnitudes 8 Newtons and 15 Newtons act at a point. If the resultant force is 17 Newtons, find the angle between the forces. - 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. - 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. - A triangle 7

A triangle lot has the dimensions a=15m, b=10m, and c=20m. What is the measure of the angle between the sides of b and c? - Sin cos tan

If cos y = 0.8, 0° ≤ y ≤ 90°, find the value of (4 tan y) / (cos y-sin y) - 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?

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