A vertical pole, 75 feet tallcasts a shadow onto the ground. If the angle of elevation from the tip of the shadow on the ground to the top of the pole is theta = 60 degrees , use the dimensions given find the length of the shadow,a, to the nearest tenth of a foot.

Q: Find the values of 0 in degrees (0" <0< 90°) and radians 0<< without the aid of a calculator. sec 0…

A:

Q: Find the reference angle theta for theta=2.3

A: Consider the provided angle which is 2.3   It is required to find the reference angle for this…

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

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Q: Find the area of the sector of a circle with radius 4 kilometers formed by a central angle of 3π/2…

A: Given query is to find the area of the sector.

Q: City A and City B are approximately a = 850 miles apart on the surface of the earth. Assuming that…

A: Given that  Distance between the two cities is 850 miles Radius of the earth=4000miles  To find the…

Q: The best view for the fireworks show is between the carousel and the birds. If the diameter of the…

A:

Q: Starting from J, the third member ran the direction similar as the second did. At what point did the…

A: There are 12 letters, hence, distance between any two letters  =  (2π) ÷ 12  =  π/6 rad    And…

Q: Joanne must create blueprints for a wheelchair accessible ramp leading up to the entrance of a…

A:

Q: The seats of a Ferris wheel are 40 feet from the wheel’s center. When you get on the ride, your seat…

A: Given  The seats of a Ferris wheel are 40 feet from the wheel’s center.

Q: Indicate the two quadrants theta could terminate in given the value of the trigonometric function.…

A: csc(θ)=-2.45

Q: A 17-foot long ladder is placed against a wall and then the base of the ladder is pulled away from…

A:

Q: Find the distance that the earth travels in one day in its path around the sun. Assume that a year…

A: Given Data: The radius of the earth's circular path around the sun is: r=93 million miles The number…

Q: The​ equation, with a restriction on​ x, is the terminal side of an angle theta θ in standard…

A:

Q: From a point on the ground 47 feet from the foot of a tree, the angle to the top of the tree is 35…

A: The following diagram depicts the situation, Here AB represents the tree and C is the location of…

Q: The terminal side of angle θ intersects the unit circle in the first quadrant at the following…

A: Here  unit circle is given and  the point of intersection is given we have to find sin,cos

Q: Find the values of the six trigonometric functions of an angle in standard position if the point…

A:

Q: A toy racecar races along a circular race track that has a radius of 27 meters. The racecar starts…

A: Given that : - Radius r=27m θ=2.5 radians According to our guidelines we are supposed to answer only…

Q: A truss for the roof of a house is constructed from two identical right triangles. Each has a base…

A: use trignometric ratio

Q: A hiker, who is 6 feet tall, is standing on the ground looking up to the top of a tree with an angle…

A:

Q: To find the height of a tree, a person walks to a point 43 feet from the base of the tree. He…

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Q: A machine at a bottling factory picks up a bottle and moves it through an arc length of 3.2 m.…

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Q: Find theta to the nearest tenth of a degree

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Q: A 155-foot tall antenna has 4 guy-wires connected to the top of the antenna, and each guy-wire is…

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Q: 19 180

A: Given query is to find the value of trigonometric functions.

Q: A 140-foot tall antenna has 4 guy-wires connected to the top of the antenna, and each guy-wire is…

A:

Q: A yardstick casts a 4 foot shadow when the sun is at an angle of elevation theta. Determine the…

A:

Q: Two cities are approximately 550 miles apart on the surface of the earth. Assuming that the radius…

A: Two cities are approximately 550 miles apart on the surface of the earth. Assuming that the radius…

Q: A rectangular box has length 11 inches, width 20 inches, and a height of 7 inches. Find the angle…

A:

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 exact values of the six trigonometric functions of the angle. 570°

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Q: Suppose that 0 is an angle in standard position whose terminal side intersects the unit'circle at 4…

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Q: Suppose that you are headed toward a plateau 38 meters high. If the angle of elevation to the top of…

A: To determine the distance between you and plateau.

Q: As shown in the figure below, Shen is standing 91 feet from the base of a leaning tree. The tree is…

A: Given that,     Shen is standing 91 feet from the base of a learning tree. The tree is growing at an…

Q: The​ equation, with a restriction on​ x, is the terminal side of an angle θ in standard position.…

A: Equation is , 3x + y = 0

Q: A rocket fired straight up is tracked by an observer on the ground a mile away. Show that when the…

A: A rocket fired straight up is tracked by an observer on the ground a mile away. Show that when the…

Q: Laura is skiing on a circular ski trail that has a radius of 1.4 km, and Laura starts at the…

A: Given

Q: A ramp is 3 feet high. The angle of elevation is 5 degrees. 3 ft 5° How long is the ramp to the…

A:

Q: ity A and City B are approximately a = 650 miles apart on the surface of the earth. Assuming that…

A:

Q: The center of an airplane propeller is 13 feet off the ground and the radius of the propeller is 3…

A: We have to find the height of tip of each propeller.

Q: A 17-foot long ladder is placed against a wall and then the base of the ladder is pulled away from…

A: Ladder is forming right angle triangle with the wall. Therefore, by using trignometric ratio we can…

Q: A right triangle contains an angle of pi/8 radian.  a) if one leg has length 7 meters, what is the…

A: Given:- A right triangle contains an angle of pi/8 radian.  To find:- a) if one leg has length 7…

Q: Figure 3 is a model of George Ferris’s Ferris wheel. Recall thatthe diameter of the wheel is 250…

A: Given, diameter = 250 feet. ∴ Radius, r = 125 feet

Q: Find the exact values of the six trigonometric functions of the given angle. -

A: Given θ =5π4θ=π+π4

Q: a ferris wheel has a radius of 25 ft. If it takes 30 seconds for the wheel to turn 5pi/6 radians,…

A:

Q: The minute hand of a clock is 10 cm long. How far will the tip of the hand move after 15 minutes?

A: Given ,  The minute hand of a clock is 10 cm long . We have to find the distance the tip of the hand…

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: A wedge shaped slice is cut from a circular pizza. The radius of the pizza is 6.3 cm and the rounded…

A: Given  radius of circle is r = 6.3cm. and arc length of slice is A =6.3 cm.

Q: Find two angle measures in radians for theta (lies between 0 and 2pie) if tan(theta) = -1/square…

A: Given that, tanθ=-13, 0≤θ≤2π. To convert the angles into radians, we have to multiply by π180.

Q: Use a half-angle formula to find cos 75 degree.

A: We have to find exact value of cos 75° by using half angle formula. We know half angle formula for…

Q: Find the quadrant in which an angle 0 lies, if sin(0) > 0 and tan(8) < 0. i) I ii) II iii) III iv)…

A: As per the company guidelines we are supposed to answer the first question.Kindly repost the next…

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.