An 18 ft. tree casts a 15 ft. long shadow as shown in the following figure. Which of the following is the angle formed by the sun's rays and the ground? A 30° 40°

Q: An engineer designs a 80-foot cellular telephone tower. Find the angle of elevation to the top of…

A: Given data is : An engineer designs a 80-foot cellular telephone tower To find the angle of…

Q: In a circle of radius 2 miles, the length of the arc that subtends a central angle of 5 radians is…

A:

Q: A boat is travelling due south at a speed of 53 miles per hour. If the boat started off 29 miles…

A: Let us suppose the distance of the boat towards south is y. Let the angle of the boat from the…

Q: Find the area of the sector of a circle with diameter 34 feet and an angle of 4π/3 radians

A: Given diameter 34 feet Therefore, Radius =342=17 feet θ=4π3

Q: In a circle of radius 5 miles, the length of the arc that subtends a central angle of 3 radians is…

A:

Q: Consider a clock with an hour hand and a minute hand. What is the measure of the angle the minute…

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Q: Find the exact values of the sine, cosine, and tangent of the angle 15°

A: Find the exact values of the sine, cosine, and tangent of the angle 15°

Q: Find the degree measure of the angle with the given radian measure. π 18

A:

Q: Find the degree measure of the angle with the given radian measure. 3

A:

Q: The latitude of San Luis Obispo, California, is 35.282  0. Find the shadow angle for asundial in San…

A: Concept used: shadow angle for a sundial is given by the formula tanθ=sinαtanh·15° where α is the…

Q: Find the angle 0, in radians, in the given right triangle. The length of the side adjacent to 0 is…

A: Given, The triangle is right angled triangle, so formula of Tan theta can be used.

Q: 25. In which quadrant would the terminal ray of an angle lie if it had a positive tangent and a…

A: Properties Quadrant I: cosine,tangent and sine are positive. Quadrant II: cosine and tangent are…

Q: Name the quadrant in which the angle lies: tan 0 < 0, cos < 0

A: Given that,  tan(θ)&lt;0 and cos(θ)&lt;0 Then to find where the angle θ lies. We know that,  In…

Q: A 170-foot tall antenna has 4 guy-wires connected to the top of the antenna, and each guy-wire is…

A:

Q: If you roll a 1-m-diameter wheel forward 30 cm over level ground, through what angle will the wheel…

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Q: In the diagram of the right triangle ADE below, BE || DE. Which ratio is always equivalent to the…

A: Solution

Q: Find the degree measure of the angle with the given radian measure. 4

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Q: Use the law of sines to find the measure of the indicated angle

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Q: consider an angle that measures 5pi/4 radians. sketch the standard position

A: For the given angle  5π4 standard position of the angle is sketched as shown below

Q: The radian measure of an angle of 244 degrees is

A:

Q: Serena is skiing around a circular trail that has a four kilometer radius. If she travels through an…

A: Distance travelled around path will be given by S=θ2π×2πRS=θR

Q: Find sin 0, where 0 is the angle shown.

A:

Q: Find the equivalent angle measure in degrees and in radians of an angle tracing 2 3/5 revolutions.

A: we have been given 235=135 revolutions to be converted into degrees and in radians.

Q: Find the exact values of the sine, cosine, and tangent of the angle 345°

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Q: Find the reference angle for radians 11x 5

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Q: The angle between 0 and 27 in radians that is coterminal with the angle 14 5 Tin radians is

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Q: At 1 1 o'clock the hands of a clock form an angle of___?

A: We know that the circle makes an angle of 360 degree.

Q: Name the quadrant in which the angle 0 lies. cos 0 > 0, cot 0<0

A: Givencosθ &gt;0 ,  cotθ&lt;0

Q: The area of the sector of a circle with radius 10 inches formed by a central angle of 2.7 radians is…

A: Our Aim is to determine the area of the sector of a circle with radius10 inches formed by a central…

Q: Find the radian measure of angle theta, if theta is a central angle in a circle of radius r, and…

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Q: Find the degree measure of the angle with the given radian measure. 3.4

A:

Q: The angle between 0 and 2 pie in radiants that is conterminal with the angle 48/7 pie in radians is

A: To find a coterminal angle, add or subtract any multiple of 2π

Q: Find the angle of elevation of the sun from the ground to the top of a tree when a tree that is 10…

A: We can use the trigonometrical ratio in order to solve the given problem.

Q: Name the quadrant in which the angle 0 lies. cos 0< 0, tan 0 <0

A:

Q: Find the angle θ, in radians, in the given right triangle. The length of the side adjacent to θ is…

A: Given, the side adjacent to θ = 19 the length of the side opposite θ = 15

Q: tan (67 ) 20t c. e. sin 3 297 d. sec 6. 11 f. cos

A:

Q: Find the length of the arc intercepted by a central angle of (2\pi )/(5) radians to a circle radius…

A:

Q: Identify the quadrant in which the terminal side of the angle must lie under the following…

A: sinθ&gt;0,  tanθ&lt;0

Q: Name the quadrant in which the angle 0 lies. cos e< 0, tan 0 < 0 Choose the correct answer below.

A: Cos(θ)&lt;0 which is negative, Tan(θ)&lt;0 is also negative.

Q: find the area of the sector of a circle with diameter 32 feet and an angle of 3pi/5 radians

A: Diameter=32 feet⇒Radius=r=16 feet    ∵Diameter=2×Radius&amp;θ=3π5

Q: Identify the quadrant in which the terminal side of the angle must lie under the following…

A: Given : sinθ &gt; 0 and cotθ &lt; 0

Q: Find the radian measure of angle theta, if theta is a central angle in a circle of radius r, and…

A: Given, The radius of the circle, r=12 inches Arc length, s=3π inches

Q: The rear wheel of a tractor has a 23​-in radius. Find the angle​ (in​ radians) through which a wheel…

A: The radius of the wheel is 23 in, the time taken to rotate the wheel is 13 sec and the speed of the…

Q: What is the radian measure of an angle of 230º?

A: We have to calculate Radian Measure of an angle of 230°

Q: The angle between 0 and 2T in radians that is coterminal with the angle T in radians is 2

A:

Q: Find the measurement of the indicated angle. Round to the nearest tenth, if needed. cos K = 0.3792 K…

A: Given, cosK = 0.3792  We have to find the value of K in degrees.

Q: Identify the quadrant in which the terminal side of the angle must lie under the following…

A: Given conditions,  sin θ &gt; 0 And cot θ &lt; 0 To find the quadrant in which the terminal side of…

Q: Name the quadrant in which the angle 0 lies. sin 0 > 0, tan 0 > 0

A: Given that sinθ &gt;0tanθ &gt;0 Therefore the angle θ lies in first (1st) quadrant.

Q: What is the angular speed in radians per second of a large flywheel that rotates through an angle of…

A: In 2 seconds it rotates 200 degrees So in 1 second it will rotate (200/2)=100 degree So the angular…

Q: What is the radian measure of a 300º angle

A:

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.