Standing 83.1 feet from a maple tree with a height of 44.6 feet, you measure the angle of depression to its base to be 3.5°.

Q: An arc of length pi/5 cm subtends a central angle theta of a circle with radius 2/3 cm. What is…

A: The length of the arc of the circle is π5 cm. The length of the radius of the circle is 23 cm.

Q: An angle in standard position in a coordinate plane has a measure in radians of θ, and its terminal…

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Q: After a hurricane, a homeowner examines trees on his property for damage. He thinks a 22-ft palm…

A: form a triangle

Q: 35 At what point does the terminal side of an angle, with a measure of 6 radians, intersect the unit…

A: When the arc is θ The point x is cos θ The point y is sin θ

Q: A tree is growing 42-ft feet from a home. The home owner is worried the tree could fall onto the…

A: Given:- A tree is growing 42-feet from a home. The home owner is worried the tree could fall onto…

Q: A bird has built a nest on top of a pillar. A cat is sitting 8m away from the pillar. For the cat…

A:

Q: Find an angle a that is coterminal with an angle, in radians, measuring -, where 0 < a < 2n. Give…

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Q: the measure (in radians) of a central angle 0

A: The formula that one should use here is s=r θ Where s is the arc length , r is the radius and θ is…

Q: Refer to the figure on the right. An antenna pole is supported by wires pegged to the ground. Point…

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Q: The proper angle for a ladder is about 75° from the ground. Suppose you have a 17-foot ladder. How…

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Q: Name the quadrant in which the angle 0 lies sin 0>0, cos 0 >0 The angle 0 lies in which quadrant?

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Q: A six-meter-long ladder leans against a building. If the ladder makes an angle of 60° with the…

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Q: Find an angle A that is coterminal with anangle, in radians, measuring where 0 < A < 2n. Give your…

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Q: A water tower 30 m tall is located at the top of a hill. From a distance of D = 145 m down the hill,…

A: From the given data

Q: In order to help the latticework remain vertical, Marcus will attach two wires to cach side of the…

A: Trigonometry is made up of two Greek words namely 'trigono' and 'metron'. 'trigono' means triangle…

Q: To build a set for your upcoming movie, you place a six-meter-long ladder against the wall. If the…

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Q: John wants to measure the height of a tree. He walks exactly 100 feet from the base of the tree and…

A: SOLUTION-

Q: Find the radian measure of the angle with the given degree measure. Round your answer to three…

A:

Q: A 14 ft ladder leans against the side of a house. The bottom of the ladder is 5 t away from the side…

A:

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: The sine of an acute angle, 0, in standard position is . What is the value of tan 0? O a) ²/ b) 2/12…

A: Answer is given in step 2

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

A: We can solve the problem by finding the quadrant in which theta lies.

Q: ind the radian measure of the central angle of a circle of radius r​ =120 inches that intercepts an…

A: It is given that r​ =120 inches and s​ =140 inches.

Q: John wants to measure the height of a tree. He walks exactly 100 feet from the base of the tree and…

A:

Q: 3. If the radius of the circle were 2, would that change the value of the sin, cos, tangent for each…

A: Let us write the reasons of the circle based problem in the next step.

Q: The length of an arc is 18 cm and the radius of the circle is 6 cm. What is the radian measure of…

A: given,       length of the arc=18cm   ,   radius of the circle =6cm

Q: A submarine dives as shown in the diagram. sea level Begin dive. 125 ft End dive. 500 ft To the…

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Q: You can drag the terminal point in the applet below to adjust the openness of the given angle. As…

A: We  need to find value of sinθ on give angle in radian

Q: A light tower is going to be installed on the left edge of the Skywalk as indicated in the diagram…

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Q: What is sin(a) for the angle a shown in the picture below? a 22 37

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Q: Tim wants to determine the height, x, of a nearby tree. He stands 35 feet from the base of the tree.…

A: The top of the tree, Tim and the base of the tree form a right triangle. The tree measures  feet…

Q: A 320-ft tree casts a 190-foot shadow on horizontal ground. A girl lying on the grass at the tip of…

A: Given: The height of tree is 320 ft. The length of shadow on the horizontal ground is 190 ft.

Q: A 17 ft ladder leans against the side of a house. The bottom of the ladder is 9 ft away from the…

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Q: 2. The minute hand of a clock measure 8 cm from tip to pivot point. a) What angle does the minute…

A: The angle traveled by a minute hand in 1 hour is 360°.  The angle of the minute hand with the 12…

Q: Find the angle 0 in the given right triangle. (Round your answer to two decimal places.) radians 13

A: Topic-trigonometry

Q: Describe the conditions that guide when it is appropriate to use the Sine Law, the Cosine Law, the…

A: Given data condtions  for using the sine rule,    the cosine rule  ,the sum of the interior Angle…

Q: consider the angle -7 radians. Determine the quadrant in which the terminal side of the angle is…

A: Given query is to find the terminal side of the angle.amd it's reference angle.

Q: A smokestack is 150 ft high. A guy wire must be fastened to the stack 20.0 ft from the top. The guy…

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Q: Consider the angle shown below that has a radian measure of 2.8 radians. A circle with a radius of 3…

A: The given diagram is as follows: Here, the co-ordinates on the circle are x=r·cosθ, y=r·sinθ, where…

Q: a 12 ft ladder leans against the side of a house the top of the ladder is 10 ft off the ground find…

A: A 12 ft ladder leans against the side of a house the top of the ladder is 10 ft off the ground. The…

Q: Consider the angle 4 radians. Determine the quadrant in which the terminal side of the angle is…

A: Consider the angle 4 radians. Determine the quadrant in which the terminal side of the angle is…

Q: Find the length of the arc of a circle of diameter 1010 meters subtended by a central angle of π4π4…

A: Solution ) diameter - 1010 m , angle = π/4 Radius =  1010/2           = 505 m length of arc of…

Q: 3. A kite is 100m above the ground. If there are 200m of string out, what is the angle (in radians)…

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Q: Question If the terminal side of angle 0 is in the first quadrant and cos(0) = ÷, what is the exact…

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Q: a) Find the value of csc(0). b) What is the radian measure of the angle 0 ?

A: a) Given, ∠POX=θ, then ∠POA=900-θ From Pythagoras theorem, Hypotenuse=PO=AO2+AP2=12+12=2   Now…

Q: Determine whether the statement is true or false. If it is false, explain why or give an example…

A: An angle measure of 4π radians corresponds to two complete revolutions from the initial to the…

Q: Question 4 A radio tower is located 450 feet from a building. From a window in the building, a…

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Q: An observer at point A observed the angle of elevation of 27' to the top of the pole. If he move…

A: Given: according to given data situation will be as follows: Where; height of pole is x

Q: Given: ? is an acute angle such that tan ?= 3. Find the value of sec ?.

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Q: 13T radians? 18 What is the degree measure of

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.