In right triangle, ABC, given a = 8, b = 6, C = 900. Find the values of the sine, cosine, and tangent of angle A and of angle B.

Q: Consider a right triangle with a side of length x opposite angle A, a side of length y opposite…

A: We can find the value of y and z as below

Q: The radius of a circle is 4 centimeters. What is the length of an arc that subtends an angle of…

A: Length of arc is 28π9 cm

Q: The angle of elevation to the top of the Empire State Building in New York is found to be 19 degrees…

A:

Q: Find the lengths of the missing sides if side a is opposite angle A, side b is opposite angle B, and…

A: Other sides

Q: A student uses a protractor to measure an angle to be 0 = 85° ± 1°. What should she report for sin 0…

A: We know that, the uncertainty in sin(θ) can be found either from half the difference between the…

Q: Solve for the missing side or angle using Trig Ratios (sin, cos, tan) 3. 4.

A:

Q: Evaluate the sine, cosine, and tangent of the angle. 405°

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Q: A woman is standing on an 85-meter tall cliff.  She spots a boat in the water below at an angle of…

A:

Q: Give the quadrant(s) in which the angle is located. sine = - II IV

A: We have:sinθ=-512We need to write the quadrants at which θ lies.

Q: Mohal leans a 20-foot ladder against a wall so that it forms an angle of 72° with the ground. How…

A: Given: Height of ladder =20 ft Angle between ground and ladder = 72 To find: How high does ladder…

Q: A triangular plot of land has one side along a straight road that is 200 feet long. A second side…

A: Given data: Straight road=200feet Second angle=50° Third angle=43°

Q: Find x, the angle of depression from the top of a lighthouse that is 187 ft above water level to the…

A: Angle of depression is 9.6°

Q: find the length of BD using law of cosines/sines/laws of triangles   that is an 85m from BC sorry!

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

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Q: Solve triangle with a = 3, b = 3, c = 3. Round lengths to the nearest tenth and angle measures to…

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Q: Consider a right triangle with a side of length x opposite angle AA, a side of length yy opposite…

A:

Q: In AUVW, the measure of^ZW=90°, WV = 65, VU = 97, and UW = 72. What ratio %3D represents the sine of…

A: topic - trigonometric ratios sine of V =UW/VU=72/97

Q: At a point on the ground 54.0m from the foot of a tree, the angle of elevation to the top of the…

A: Given:

Q: A right triangle has one leg that measures 13 feet and another that measures 15 feet. Use sine,…

A:

Q: A hiker at the top of a 462-ft mountain measures the angle of depression from the top of a mountain…

A: NOTE: Refresh your page if you can't see any equations. . here we have AB=462 C=5 BC=x

Q: "For the right triangle shown, express the cos of ∅ as a fraction in lowest terms if side a=8, side…

A: The edge length of the right-angled triangle  is  a=8, side b=6 and side c = 10 We need to find as…

Q: In triangle ABC, A = 40 degree , b = 19 ft, and a =18 ft. Use the law of sines to find sin Band then…

A: Given in ∆ABC,  ∠A = 40° , a = 18ft b = 19ft, ∠B = ?

Q: In AHIJ, the measure of ZJ=90°, IH = 65, HJ = 56, and JI = 33. What is the value of the sine of ZI…

A:

Q: What is the sine of the 45° angle A?

A: the opposite side of the angle A is BC  and  the hypotenuse is AB

Q: Find the value of the Sine, Cosine, Cosecant and Secant, if 0= 225°. What is the reference angle of…

A: Given unit circle with angle θ=225°

Q: Use the law of sines to show that no triangle exists for which A = 60 degree, a = 12 inches,and b =…

A: Given: A=60° , a=12 and b=42

Q: Find x, the angle of depression from the top of a lighthouse that is 156 ft above water level to the…

A: The given figure is: To find x

Q: A person standing 188 ft from the base of a church observed the angle of elevation to the church's…

A: Given:  The person standing 133 ft from the base of church observed the angle of elevation to the…

Q: A light truck with manual transmission has a circular brake drum with a diameter of d = 310…

A: A light truck with manual transmission has a circular brake drum with a diameter of d = 310…

Q: Explain why the sine or cosine of an acute angle cannot be greater than or equal to 1.

A: Let us consider a right angled triangle as below. Here θ is an acute angle. In the right angled…

Q: For a right triangle, the sine, cosine, and tangent of the angle @ is defined as:

A: Given data: The given right angle triangle. The expression for the sinθ is, sinθ=OppositeHypotenuse…

Q: Explain, using the four quadrants of the unit circle, how to find in which quadrants sine, cosine,…

A:

Q: The angle between 0 and 2T in radians that is coterminal 55 T in radians is 8 with the angle

A:

Q: Use words to describe the formula for:the sine of half an angle.

A: We can easily derive the formula for the sine of half an angle:   Let's use the trigonometric…

Q: 4. Could you use the Sine Law to determine the length of sidep in the triangle? If so, explain how.…

A: we are given a triangle wth measure of one angle and 2 sides, and askes to weather we can use Sine…

Q: How does the value of sine and cosine relate to writing proofs about triangles?

A: Let, ABC be a right angle triangle as shown in the figure sine(θ) = a/h cosine(θ) = b/h

Q: In a right triangle, tan 6 0.75. Which side is longer, the opposite or the adjacent side? Explain…

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Q: In right triangle ABC, mzC = 90° and AC + BC. Which trigonometric ratio is equivalent to sin B? %3!

A: We know that, for any angle x, sin(90-x)=cosx. Also the sum of the angles of a triangle is 180°.

Q: Find x, the angle of depression from the top of a lighthouse that is 189 ft above water level to the…

A:

Q: What's the radius of a circle with an arc length of 15 feet that subtends a central angle by 3…

A: Given, Length of arc (l)=15 Central angle (theta)=3 radius of circle(r)=?

Q: Find x, the angle of depression from the top of a lighthouse that is 173 ft above water level to the…

A: We have to find the angle x.

Q: Use the law of sines to show that exactly one triangle exists for which A = 42 degree,a = 29 inches,…

A: Given: A=42 degree a=29 in b=21 in Formula used: sin Aa=sin Bb

Q: The angle between the bottom of the fence and the top of the tree is 75 degrees. The tree is four…

A:

Q: Use the sine law to determine the measure of angle C, to the nearest degree, given that b = 87.4 ft,…

A: Find angle c

Q: law of Sines

A:

Q: Find x, the angle of depression from the top of a lighthouse that is 151 ft above water level to the…

A:

Q: Use the Law of Sines or the Law of Cosines to find the required part of the triangle.

A: Given triangle,

Q: In a circle with a radius of 10 inches, an arc is intercepted by a central angle of 2 radians. What…

A: Given radius 10 inches Centre angle = 2 radian

Q: Draw a triangle that would be used together with the substitution x = 3 sec θ.

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.