To find the distance across a small lake, a surveyor has taken the measurements shown in the figure below. If a = 950 ft, b = 800 ft, and C = 65°, find the distance across the lake. b ft a ft 978.45 ft 1182.09 ft 898.65 ft 948.75 ft

Q: .Determine the angle 0 in the design of the streetlight shown in the figure, where x = 1.9. (Round…

A: We use Cosine formula to calculate the angle θ.

Q: A B 65 yards 80°C 105 yards

A: To find the distance across a protected cove at a lake, a surveyor makes the measurements shown in…

Q: 545 45° y 7

A: Given the triangle

Q: 25.62 mm Ly 42.45 mm Determine angle y in the accompanying figure. Round to the nearest hundredth…

A: cos y=adjacenthypotenuse

Q: What degree is an angle with a radians measure of 57 150° O 210° 300° 45°

A:

Q: Determine the angle 0 in the design of the streetlight shown in the figure, where x = 2.2. (Round…

A: Given figure  ∠A  ∠C    ∠B= θAB= 3  , BC= 2.2   CA=4.5we have to cosine formula for this triangle…

Q: To find the distance across a protected cove at a lake, a surveyor makes the measurements shown in…

A: Given figure is,

Q: Determine the angle 0 in the design of the streetlight shown in the figure, where x = 1.8. (Round…

A:

Q: Solve the right triangle with A = 41.5°, b = 20, shown in the figure. Round lengths to two decimal…

A:

Q: Solve the right triangle shown in the figure.Round lengths to two decimal places and express angles…

A:

Q: A lawn sprinkler has been set to rotate through an angle of 110 degree and project waterout to 12…

A: Given: A lawn sprinkler has been set to rotate through an angle of 110 degree and project water out…

Q: Find the reference angle e, and sketch e and e in standard position. 0 = 150°

A:

Q: 230 degrees; r=6.4 cm Find the length of the intercepted arc, to the nearest tenth.

A: The formula for arc length is Arc length  = 2πr·θ360° Where r is the central angle measure and θis…

Q: To find the distance across a protected cove at a lake, a surveyor makes the measurements shown in…

A:

Q: The radian measure of the angle 316" is O 316 A radians 90 O 316 T radians 360 316 T radians 120 316…

A:

Q: A boat travels on a course of bearing S 63 degree 50' E for 111 miles. How many miles south and how…

A: Concept: The trigonometric ratio are ratios, sine, cosine, tangent, cosecant, secant and cotangent.…

Q: Rounded to the nearest hundredth, how many degrees are contained in an measuring 3.2 radians? angle

A:

Q: Determine the value of angle A that corresponds to csc A=1.7320. Round the answer to the nearest…

A: Given,  csc A = 1.7320 We have to find angel A in degree.

Q: A boat travels on a course bearing South 42 degrees East for 58 miles. How many miles south is the…

A:

Q: Find the reference angle for the given angle. 385 OA. 115° OB. 155° OC 25° OD. 65°

A: NOTE: Refresh your page if you can't see any equations. . the given angle is  here the given angle…

Q: A 39-ft ladder leans against a building so that the angle between the ground and the ladder is 85°.…

A: To find the height

Q: What is radians to degrees? O 300 O 135 O 45 315

A:

Q: Find the reference angle 4) 本) 250° A) 70° B) 55° D) 80° C) 85°

A:

Q: pts 5. A person stands 25 feet from the base of a building and measures the angle of elevation to…

A: Height of the bulding is

Q: Find the reference angle for 510°. JT olo

A: Reference Angle: the acute angle between the terminal arm/terminal side and the x-axis. In other…

Q: Find the positive angle 0' formed by the terminal side of e and the x-axis. a. e = 345° b. Sa

A: Consider the given information. (a) Consider the given angle. θ=345° As, the total angle is 360…

Q: Find the exact radian measure of the angle.

A: π=180° 1°=π180

Q: Use the Law of Cosines to find the value of 0. Round answer to the nearest degree. 39mm 47mm 35mm

A: We will find the measure of the angle in the following step

Q: Determine the angle e in the design of the streetlight shown in the figure, where x = 2.3. (Round…

A:

Q: Solve the triangle using the labels as shown in the figure below (round lengths of sides in ft to…

A: to find : (1) angle A (2) angle B (3) side c

Q: A large totem pole in the state of Washington is 100 feet tall. At a particular time of day, the…

A: From the given figure:     Corresponding to ∠A.   BC=Perpendicular=100ftAC=Base=249ftAB=Hypotenuse…

Q: Find the length or arcCD Leave your answer in terms of Tt. * 18cm 160° Your answer

A: We will use the formula for finding the circumference of a circle to find the length of the arc CD.…

Q: Solve the triangle using the labels as shown in the figure below. (Round lengths of sides to three…

A:

Q: The latitude of Goose Pimple Junction, Virginia, is 36.597 0. Find the shadow anglefor a sundial in…

A: Definition used -        Shadow angle -                               tanθ=sinα×tan(t(15°))…

Q: A tree in Daniel's yard died and he's worried it might fall and hit the house if left alone. He…

A: SOLUTION-

Q: 1. Convert the angle to a decimal in degrees. Round the answer to one decimal place. 98°22' 45"

A: We need to convert the following angle to a decimal in degree 98°22'45" The conversion formulas…

Q: find the reference angle for the given angle  -1.4pi

A: The rule for calculating reference angle, For an angle between 0 to 90 degrees, the reference angle…

Q: A 88-ft tree casts a shadow that is 150 ft long. What is the angle of elevation of the sun? (Round…

A:

Q: Find the reference angle of 5pi/4.

A:

Q: Find the reference angle for 576°. JT ?

A:

Q: Use a form of the Law of Sines to find the measure of the indicated angle to the nearest degree. 6…

A: For the above triangle, Sine rule is given by xsin β=6sin 74°=6sin α

Q: The diagram shows A PST. 51° 6 56% 11 T According to the labeled measurements, which triangle MUST…

A: Given,

Q: building that is 280 feet tall casts a shadow 40 feet long. What is the angle of elevation of the…

A:

Q: Solve the right triangle shown in the figure. Round lengths to one decimal place and express angles…

A:

Q: Convert the angle measure from radians to degrees. Round to three decimal places. 11 65.454545456

A: Given,           θradian=4π11

Q: A 35° 53 ft. b 109% B

A:

Q: Which trigonometric ratios at the Hole (H) is equivalent to the ratio of 220 yards / 165 yards? 165…

A:

Q: Determine the angle 0 in the design of the streetlight shown in the figure, where x = 2.3. (Round…

A: To find θ

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.