Luke is flying a kite and realizes that 400 feet of string are out. The angle of the string with the ground is 50°. How high is Luke's kite above the ground? Round to the nearest tenth Rite

Q: On a dogleg golf hole, one golfer hits the ball 270 yards and then another 170 yards to reach the…

A: From the given details:

Q: The sail on a toy boat is 18 inches long from outer corner of the sail to the top of the mast, which…

A:

Q: For the right triangle below, find the measure of the angle. Round to nearest hundredth. 8 and 11 14…

A:

Q: An 85 ft. tree casts a shadow that is 147 ft. long. What is the angle of elevation of the sun? O 40°…

A: As we know that; The trigonometric ratio. tanθ=PerpendicularBase According to the given problem, the…

Q: From a point on the ground 12 ft from the base of a flagpole, the angle of elevation of the top of…

A:

Q: you must order a new rope for the flagpole. to find out what length of rop is needed, you observe…

A: Given: The length of the shadow on the ground is 11.6 meters. The angle between the sun rays and the…

Q: The base of the ladder in the figure is a = 7 ft from the building, and the angle formed by the…

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 measure of arc DC if angle DSC =73 and the measure of arc AB = 105. Round to the nearest…

A: given: In the circle,  ∠DSC=73, m(arcAB)=105   To determine: The measure of the arc DC

Q: Find angle A in the following triangle, rounded to the nearest tenth of a degree: 21 C 30 А В 18

A: See the details solution in below

Q: A man standing near a building notices that the angle of elevation to the top of the building is…

A: answer is in next step

Q: When a 25-ft ladder is leaned against a wall, it makes a 72° angle with the ground. How high up on…

A: Length of the ladder: 25 ft Let the height of wall be: x ft The ladder makes an angle of elevation…

Q: А 82

A:

Q: from the top of a 300-ft light house, the angle of depression to a ship in the ocean is 27degrees.…

A: Given the angle of depression to a ship in the ocean is 27degrees. Height of the light house=300ft A…

Q: The radian measure of the angle 315° is 77 7 2 4 3 O O O O

A:

Q: find a meausre of an angle whose supplemen meausres nine times its measures.…

A: To find a measure of an angle whose supplement meausres nine times its measures.

Q: 2. FIND THE MEASURE OF ANGLE ADB. ROUND TO THE NEAREST THOUSANOTH DEGREE. 55 mm 121° 60 mm 35 mm

A: To find angle ADB

Q: A 110 ft. tree casts a shadow that is 302 ft. long. What is the angle of elevation of the sun? 40°…

A: We find out the angle of the elevation. Follow 2nd step.

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: Find all the missing parts of the right triangle angle, if A = 16.8 degree and c = 7.65 cm.

A:

Q: Find the acute angle measure, to the nearest degree. V 14

A: We use Trigonometry ratios

Q: What is the height of a right triangle with base angle 60° and base 18? Round answer to nearest…

A: Given figure, we have to find height of triangle.

Q: Two sidesof a triangular garden measures 6.8 yds and 13.1 yds. If the angle formed betweem these two…

A: Two sidesof a triangular garden measures 6.8 yds and 13.1 yds. If the angle formed betweem these two…

Q: What is the height of a right triangle with base angle 60° and base 13? Round answer to nearest…

A: We have the given figure as base=13 base angle =60° We have to find the height

Q: A radio transmission tower is 567 feet tall. A guy wire is to be attached 6 feet from the top and is…

A: Given: The height of the radio transmission tower is 567 feet. And attachment of guy wire is to be 6…

Q: Tamara took another sighting of the top of the flagpole from a different position. This time the…

A: Given that:

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

A:

Q: Find the missing angles in the diagram below. Round to the nearest whole degree. A 4 in. B. 7 in. ZA…

A: We find measure of angle A and B

Q: 10. To measure the height of a flagpole, Charlene found that the angle of elevation to the top is…

A: Consider the height of the flagpole is BC. The distance AB=24.7 ft and m∠A=32∘

Q: In ACDE, the measure of ZE=90°, EC = 45 feet, and CD = 75 feet. Find the measure of ZC to the…

A: We use the trigonometry ratios to find angle c.

Q: What is the measure in degrees of the angle A = 7π / 6 radians? Select one: a. 210 º b. 120 º c.…

A: we have π radians = 180° hence 1°=π180 radians

Q: The base of the ladder in the figure is a = 10 ft from the building, and the angle formed by the…

A: Using trigonometric identities.

Q: A ladder 5 m long leans against a building. If the angle between the ground and the ladder is 57…

A: Given: according to given data figure will be Where; AC is length of ladder, BC is distance between…

Q: Solve the right triangle. Round side measures to the nearest tenth and angle measures to the nearest…

A:

Q: A 35-foot laddeer is leaning against the side of a building. if the ladder makes an angle of 22 20…

A: Converting minutes into degree 22°20'=22°+2060°=22°+.3333°=22.3333° Ladder forms right angle…

Q: Which angle is vertical to 1? 4

A: Vertical angles are pair of angles lying on opposite sides of two intersecting lines. Here we have…

Q: The base of the ladder in the figure is a = 9 ft from the building, and the angle formed by the…

A:

Q: A 225-foot support wire is attached to the top of a monument at a stake on the ground 100 feet from…

A:

Q: The radian measure of the angle 1170° is 13T radians 4 157 radians 2 O l1T radians 17T radians 13п…

A: To find: radian measure of an angle 1170° Formula: 1 radian = 180°π  for an angle θ to be in radian…

Q: The radian measure of the angle 1170° is O 11T radians O 17T radians 2 157 radians 137 radians 4 137…

A:

Q: Find the measure of arc DC if angle DSC = 72 and the measure of arc AB = 103. Round to nearest…

A:

Q: In ACDE, the measure of ZE=90°, DE = 84 feet, and EC = 13 feet. Find the measure of ZC to the…

A:

Q: In ASTU, the measure of ZU=90°, US = 7.4 feet, and ST = 9.4 feet. Find the measure of ZT to the…

A: Given,           In △STU, the measure of ∠U=90°, US=7.4 feet, and ST=9.4 feet.

Q: Dr. Lawrence is standing 34 feet away from a tree, and measures the angle of elevation to be 42°.…

A: Using the trigonometric function tan x  we can find the height of the tree.

Q: meausre of the central angle in degrees if the radius is 12cm and the length of the intercepted arc…

A: s=rθ s is the length of intercepted arc r is the radius  θ is the central angle in radians

Q: In the right triangle below, find a to the nearest whole number if c = 15 and angle 0 is 37 degrees.

A: We use Trigonometry ratios

Q: The base of the ladder in the figure is a = 5 ft from the building, and the angle formed by the…

A: Topic :- trigonometry and triangle

Q: 36. A man standing on top of the tower looks down on a car that is 40 meters away. How high is the…

A:

Q: 10. The length of a shadow of a tree is 125 ???? when the angle of elevation of the sun is 33°.…

A:

Q: When the angle of elevation of the sun is 39.6∘, the length of the shadow of a utility pole is…

A: Given, angle of elevation of the sun is 39.6∘, and the length of the shadow of an utility pole is…

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.