# Sine - practice problems

#### Number of problems found: 252

- Solve 13

Solve the missing dimensions for the following triangle: Triangle ABC: AngleA=43 degrees, b=7.0cm, c=6.0cm Question 1. AngleB with units written as degrees Question 2. Angle C with units written as degrees Question 3. a, rounded to the nearest tenth of a - Sin cos tan

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

A ship has been spotted by two lighthouses A, B as shown in the figure. What is the distance from the ship to Lighthouse A, to the nearest tenth? Figure - distance between lighthouses A and B is 40 nautical miles. From A is seen in view angle 57° and from - A Ferris wheel

A Ferris wheel with a diameter of 100 feet makes five revolutions every 8 minutes. The base of the wheel is 4 feet above the ground. Your friend gets on at 3 PM sharp. a) Write an equation to express the height in feet of your friend at any given time in - Triangle 75

Triangle ABC has angle C bisected and intersects AB at D. Angle A measures 20 degrees and angle B measures 40 degrees. The question is determine AB-AC if length AD=1. - A flagpole

A flagpole is leaning at an angle of 107° with the ground. A string fastened to the top of the flagpole is holding up the pole. If the string makes an angle of 38° with the ground and the flagpole is 8 m long, what is the length of the string? - A man 7

A man wandering in the desert walks 3.8 miles in the direction S 44° W. He then turns and walks 2.2 miles in the direction N 55° W. At that time, how far is he from his starting point? (Round your answer to two decimal places.) - A rhombus 4

A rhombus has side length 10 cm. Find the angles at each corner of the rhombus if the shorter of the two diagonals measures 7 cm. Give your answers to the nearest degree and give clear geometric reasoning at each stage of your solution. - A hiker

A hiker plans to hike up one side of a mountain and down the other side of points a mountain, each side of the mountain formed by a straight line. The angle of elevation at the starting point is 42.4 degrees, and the angle of elevation at the end is 48.3 - Designated 71874

The patrol had started at a designated marching angle (an azimuth) of 13°. After 9 km, the azimuth's angle changed to 62°. The patrol went 10 km in this direction. Find the distance from where the patrol started. - An angle of depression

The lighthouse sees a ship at an angle of depression of 25°. The observer from the lighthouse is 82 m above sea level. How far is the ship from the top of the lighthouse? - Deviation 70744

Calculate the volume and surface of the rotating cone if its height is 10 cm and the side has a deviation of 30 ° from the base plane. - Function x*tanx

Functions: f(x)=xtanx f(x)=(e^x)/((e^x)+1) Find; i)vertical and horizontal assyptotes iii)the interval of decrease and increase iii)Local maxima and local minima iv)interval of concavity and inflection. And sketch the graph. - Degrees 70334

What is the height of a diamond with a side 6 cm long if the angle formed by the sides is 78 degrees and 10 '? - Instantaneous 69064

Describe how the instantaneous power value in the AC circuit changes during one period. - Components 67664

The force R = 12 N is divided into two components, F1 and F2. Their directions make angles α = 30 °, β = 45 ° with the direction R. What are the components F1 and F2? - Building 67654

The 15 m high building is 30 m away from the river bank. The river's width can be seen from the roof of this building at an angle of 15 °. How wide is the river? - Parallelogram 65334

In a parallelogram, the sum of the lengths of the sides a+b = 234. The angle subtended by the sides a and b is 60°. The size of the diagonal against the given angle of 60° is u=162. Calculate the sides of the parallelogram, its perimeter, and its area. - Magnitudes 64704

The triangle ABC determines the size of the sides a and b and the magnitudes of the interior angles β and γ, given c = 1.86 m, the line on the side c is 2.12 m, and the angle alpha is 40 ° 12 '. - Hypotenuse 64694

Point S is the center of the hypotenuse AB of the right triangle ABC. Calculate the content of triangle ABC if the line on the hypotenuse is 0.2 dm long and if | ∢ACS | = 30 °.

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