Outline a plan to determine the length of side DC. Be specific in your steps but do not solve! 40° 62° C 10 cm B

Q: In the evening, a tree that stands 12 ft tall casts a long shadow. If the angle of depression from…

A: Since, it is given that in the evening a 12 ft tall tree cast a long shadow,Also, it is given that…

Q: Solve the triangle. Round your answers to the nearest tenth. Triangle ABC with angle B being seventy…

A: Given, ∆ABC with ∠B = 79.5°, AB = 25.1 km  and  BC =24 km  We have to solve the triangle

Q: The Washington Monument in Washington, D.C. is 555 feet tall. If a tourist sees the monument with a…

A: The Washington Monument in Washington, D.C. is 555 feet tall and a tourist sees the monument with a…

Q: At a point 200 feet from the base of a building, the angle of elevation to the bottom of a…

A:

Q: To calculate the height of a tree, Marie measures the angle of elevation from a point A to be 46°.…

A: The sides and angles of a right triangle are related by the trigonometric functions. Trigonometric…

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

A:

Q: The radius of a circle is 3 miles. What is the length of a 90° arc? r=3 mi 90° Give the exact answer…

A:

Q: 11. ZP= 54.2°, ZQ = 45.9°, r = 75.3 %3D

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

Q: A lamppost casts a shadow of 18 ft when the angle of elevation of the Sun is 33.7°. How high is the…

A: Draw the diagram from the given information.

Q: A helicopter takes off, and travels forward at an angle of 65.1°above horizontal. After following…

A:

Q: 1. From the top of a 163-ft lighthouse, the angle of depression to a ship in the ocean is 27°. How…

A: From the top of a 163-ft lighthouse, the angle of depression to a ship in the ocean is 27°.How far…

Q: . A lamppost casts a shadow of 18 ft when the angle of elevation of the Sun is 33.7°. How high is…

A: Length of shadow=18ft Angle of elevation=33.7 degree

Q: In ATUV, the measure of V=9o°, TU = 5.4 feet, and VT = 1.6 feet. Find the measure of ZT to the…

A:

Q: A tree casts a shadow of 14.7 meters when the angle of elevation of the sun is 13.1 degrees. How…

A: A tree shadow of 14.7 meters  angleof elevation of the sun is 13.1 degrees. To find :- Height of a…

Q: Find all angles, 0° 0 < 360°, that satisfy the equation below, to the nearest 10th of a degree. 4…

A: We can solve the given problem by using the properties of inverse trigonometric functions.

Q: A person standing 100 feet from the base of a church observed the angle of elevation to the church's…

A: Given that A person standing 100 feet from the base of a church observed the angle of elevation to…

Q: From the observation deck of a skyscraper, Deion measures a 48° angle of depression to a ship in the…

A: Topic = Trigonometric ratios

Q: State the form of the law of cosines used to solve a triangle for which allthree sides are given…

A: Given- All the three sides of the triangle are given SSS. To state- the form of the cosine law.…

Q: The angle of elevation of the sun is 68° when a tree casts a shadow 14.3 m long. How tall is the…

A:

Q: 11. A driveway is 11.4 meters long and has an angle of elevation of 20°. How high does the driveway…

A:

Q: The radius of a circle is 2 feet. What is the length of a 135° arc? 135° r=2 ft Give the exact…

A:

Q: From the top of a 215-meter-tall building, an observer measures the angle of depression of a bicycle…

A: Use trigonometric ratio to solve it.

Q: Ruth makes a model of a horizontal sundial as shown. 12.5 in, 10 in What is the missing height? A.…

A:

Q: person observes that a wire runs from the top of a building to the ground 40 meters away. If the…

A: Given: A person observes that a wire runs from the top of a building to the ground 40 meters away.…

Q: From the top of a 72-m lighthouse, the angle of depression to a ship in the ocean is 21°. How far is…

A: Given the top of a 72 m and the angle of depression to a ship in the ocean is 21°. We have to find…

Q: the recomended safety angle of a ladder against a building is 76 degrees. A 10-m ladder will be…

A:

Q: the length of the shadow of a building 34.09m tall is 37.62m. Find the angle of elevation of the sun…

A:

Q: Solve the following triangle, using either the law of sines or law of cosines: C AZ 46° 20 B 65

A:

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

A: Given that, sin(B)=16,  a=7 The objective is to find b and c. The value of sine is the ratio of…

Q: The empire state building is 1250 ft tall and approximately 3.0 mi from the brooklyn bridge. From…

A:

Q: A 109 ft. tree casts a shadow that is 130 ft. long. What is the angle of elevation of the sun? 60°…

A:

Q: How many degrees are in angle A? (You'll need to solve for x to find out). A.

A:

Q: The diameter of a circle is 8 kilometers. What is the angle measure of an arc 3x kilometers long?…

A: The given graph is: The given diameter of the circle is 8 kilometers. Calculate the angle measure…

Q: This part serves as a Performance Directions: Solve the following situa 1. If the minute hand of the…

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

Q: A playground slide starts 102 cm above the ground and is 258 cm long. What angle does the slide make…

A:

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

A:

Q: A straight kite string makes an angle of 40° with the ground, as shown in the diagram. If y = 200…

A: Given: A straight kite string makes an angle of 40° with the ground also 200 feet string has been…

Q: From the top of a 200 meters high building, the angle of depression to the bottom of a second…

A: Given- From the top of 200 m high building, the angle of depression to the bottom of a second high…

Q: A bird is on perched on top of an 18 feet high flagpole. If the angle of depression of its direct…

A:

Q: To measure the distance through a mountain for a proposed A tunnel, a point C is chosen that can be…

A:

Q: A monument is 95 meters highAt an information booth, an observer notices the angle of elevation to…

A:

Q: The angle of a depression from a lighthouse to a boat in the water is 14°. If the boat is 532 feet…

A:

Q: In the evening, a tree that stands 12 ft tall casts a shadow. If the angle of depression from the…

A: Consider the provided information, The graph is shown below, Find the length of the shadow.

Q: The windshield wiper blade on Julia's car is 21 inches long. Each swipe of the wiper makes an angle…

A: θ=lr Where l is length of arc and r is radius.

Q: The angle of depression from a bird sitting on top of a telephone pole to the base of a tree is 63°.…

A: Let α1 be angle of depression. The height of pole is 18 feet. Let the distance between pole and tree…

Q: 1. Would you use the law of sines or the law of cosines to find the missing valhues? <A = ?, <B=?…

A: Here, the given triangle is: Let, a=7,b=12,C=75°

Q: In AUVW, the measure of ZW=90°, VW = 15 feet, and UV = 91 feet. Find the measure of ZU to the…

A: We know, trigonometric ratio of sine function in a right triangle is given by:…

Q: In the figure, a person standing at point A notices that the angle of elevation to the top of the…

A: 1°=60'Therefore, 48°30'=48.5°44°10'=44.167°

Q: A ship’s sonar finds that the angle of depression to a wreck on the bottom of the ocean is 15.2. If…

A: According to question, below the figure  Since line OA is parallel to BC∠OAC=∠ACB = 15.2°…

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.