A 50-foot wire running from the top of a tent pole to the ground makes an angle of 54° with the ground. If the length of the tent pole is 44 feet, how far is it from the bottom of the tent pole to the point where the wire is fastened to the ground? (The tent pole is not necessarily perpendicular to the ground.) ​ Apply the rules regarding the use of significant digits to each angle and length after all computations are complete. ​ __________ ft.

Q: Find an angle 0 coterminal to -1050°, where 0° < 0 < 360°.

A: Finding coterminal angles is as simple as adding or subtracting 360° or 2π to each angle, depending…

Q: If tan A= 7 then which of the following is closest to the measure of ZA ?

A: we have to find angle

Q: 3 8.

A:

Q: To measure a stone face carved on the side of a mountain, two sightings 900 feet from the base of…

A: Given that:                        Distance of observation point from mountain base: d=900 ftAngle…

Q: To measure a stone face carved on the side of a mountain, two sightings 650 feet from the base of…

A: In this question we have to find height of face of stone.

Q: Find the length of the arc. 225° 12 in

A: The formula for the length of the arc of a circle is given by s=2πrθ360°, where r is the radius of…

Q: The angle between 0∘ and 360∘ that is coterminal with the 7617∘ angle is

A: We have to find angle between 0∘ and 360∘ coterminal with the 7617∘ angle.

Q: Solve the triangle. Round decimal answers to the nearest tenth.

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: If, in a right triangle, theta = 17o and hypotenuse has length 8, how long is the side adjacent to?…

A: one angle in right angle triangle is given as, θ = 17° Length of hypotenuse = 8 Length of adjacent…

Q: Find the area of a triangle with side lengths 7 and 9 and the angle in between these lengths is…

A: To find the are of the triangle when two side length and angle between them are given.

Q: find all angles that are coterminal with the given angle. (let k be an arbitrary integer) -225…

A:

Q: What is the length of AC in the figure below

A: To find the length of AC :

Q: XYZ is a triangle and YA←→∥XZ←→YA↔∥XZ↔. Prove that the interior angles of a triangle sum to 180180…

A:

Q: Use the given information and a calculator to find ? to the nearest tenth of a degree if 0° ≤ ? <…

A:

Q: Solve the triangle. 17 in 11 in 10 in

A:

Q: Draw a right triangle in which pi/3 is one of the acute angles. label the lengths of the sides…

A: Consider the figure:

Q: Use a half-angle formula to find the exact value of the expression tan(7π/8).

A: we have to use the half angle formula to find the exact value of the expression tan7π8. tan…

Q: Two fire-lookout stations are 14 miles apart, with station B directly east of stat notation is N35°F…

A: Let the position of fire be at C. Given, Distance between two fire lookout stations AB= 14 miles…

Q: If QR = 13 and PT 8, find QT. Round your answer to the nearest tenth. %3D

A: Given: QR=13 and PT=8  To find QT

Q: Find an angle 0 coterminal to 1098°, where 0° < 0 < 360°.

A:

Q: Find a co-terminal positive angle between 0° and 360° of  745°

A:

Q: The double-angle identities are derived from the sum identities by adding an angle to itself ,…

A:

Q: Use the inr on giver A =

A: we have to  find A to the nearest degree.A =    °

Q: 74" 28

A: The given right triangle has length 28 and angle measure 74°

Q: A convex quadrilateral has area 30 and side lengths 5, 6, 9 and 7, in that order. Denote by θ the…

A:

Q: (2) Use the angle addition formulas and the even/odd identities to deduce formulas for angle…

A: Given data is : Use the addition formulas and the even/odd identities to deduce formulas for the…

Q: 37 in. 35 in. How far away from the lamp is the light bulb?

A: In this question, we have to find the how far away is light bulb from the lamp.

Q: 2 Find area inside ra leos6 out Side raI

A: Area between the polar curves

Q: The Sun is 25 above the hori 2on

A: Given, The angle inclined by the sun which is above the horizon is θ=25° Height of the building:…

Q: Use the angle sum or difference identity to find the exact valuc of cach. sin 15"

A:

Q: Let P0 be an equilateral triangle of area 10. Each side of P0 is trisected into three segments of…

A:

Q: Use a half angle formula to find the exact value of tan165degrees

A:

Q: Find an angle 0 coterminal to 1118°, where 0° < 0 < 360°.

A:

Q: Carefully state the Pythagorean Theorem, and outline a proof

A: Pythagorean theorem: It states that, in a right angled triangle, the square of the larger side of…

Q: (117° 12. sec

A:

Q: A 34-ft ladder leans against a building so that the angle between the ground and the ladder is 82…

A: Solve the following

Q: To measure a stone face carved on the side of a mountain, two sightings 800 feet from the base of…

A: Given:- To measure a stone face carved on the side of a mountain, two sightings 800 feet from the…

Q: How far from the base of the house do you need to place a 15’ ladder so that it exactly reaches the…

A: Here we have to find the distance from the base of the house to the base of the ladder such that the…

Q: (a) cos !9 4 " (b) θ (in degrees) where csc θ = 2.7614 (c) cot 217◦ (d) θ (in radians) where sin θ =…

A: a) Given term is cos94"

Q: Use a special right triangle to write tan 45 degrees as a fraction.

A: From the given statement, use the special right triangle to write tan 45 degrees as a fraction.In a…

Q: Use the given information and a calculator to find θ to the nearest tenth of a degree if 0° ≤ θ <…

A:

Q: In terms of the tangent of a positive acute angle, what is the expression for tan(11π/8)?

A: Consider

Q: What is the smallest negative coterminal angle of -14pi/3?

A:

Q: 5. Determine any three positive angles that are co-terminal with 150°.

A:

Q: Find the exact value of each expression using the angle sum and difference formulas: tan 36° – tan…

A: The objective of the question is evaluate the given expression.

Q: In a right triangle ABC, right angled at C, if tanA = 1 , then verify that 2sinA cosA = 1

A:

Q: b. Approximate, to the nearest 0.01 radians, all angles in the interval [0, 2n) that satisfies the…

A:

Q: What is the formula of Pythagoras Theorem

A:

Trigonometric Identities

Trigonometry in mathematics deals with the right-angled triangle’s angles and sides. By trigonometric identities, we mean the identities we use whenever we need to express the various trigonometric functions in terms of an equation.

Inverse Trigonometric Functions

Inverse trigonometric functions are the inverse of normal trigonometric functions. Alternatively denoted as cyclometric or arcus functions, these inverse trigonometric functions exist to counter the basic trigonometric functions, such as sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (cosec). When trigonometric ratios are calculated, the angular values can be calculated with the help of the inverse trigonometric functions.