1. From the top of a 163-ft lighthouse, the angle of depression to a ship in the ocean is 27°. How far is the ship from the base of the lighthouse? Make sure to draw the picture.

Q: The radius of circle B is 10 mm and the central angle of ABC is 75°. what is the area of the…

A: Given: Given: r = 10 mm θ = 75o

Q: A ladder is placed 5 ft5 ft away from a wall and reaches a point 12 ft12 ft high. What is the…

A: Given:  A ladder is placed 5 ft away from a wall and reaches a point 12 ft high. To Find:  To find…

Q: A triangular lot has sides 1,460 ft, 2,740 ft, and 1,720 ft long. Find its largest angle in degrees.…

A: We use Cosines and sines formula.

Q: From the top of a 187-ft lighthouse, the angle of depression 2 to a ship in the ocean is 15°. How…

A: Given,          From the top of a 187- ft lighthouse. the angle of depression to a ship          in…

Q: What is the angle of elevation from the ground to the top of a 45-ft tree from 65 feet away? Round…

A:

Q: A pilot is at an altitude of 3,000 ft, and is 7,060 ft in horizontal distance from the end of the…

A:

Q: The angle of elevation from a point A on the ground to the top of a space shuttle is 27°. If point A…

A: It is given that the angle of elevation of the space shuttle from point A is 27°. The distance from…

Q: From the top a 18.2 m cliff, the angle of depression of a floating buoy is 26 0 . Determine, correct…

A: Let AB be the cliff and A be the top of the cliff.Height of the cliff=18.2 mLet C be the floating…

Q: What is the angle of elevation from the ground to the top of a 45-ft tree from 65 feet away? Round…

A: Given,          The ground to the top of a 45-ft tree from 65 feet away.

Q: As viewed from a cliff 360 m above sea level, the angle of depression of a ship is 28°. How far is…

A: The objective is to find how far is the ship from the base of the Cliff

Q: A person observes that from point A, the angle of elevation to the top of a cliff at D is 30°.…

A: GIVEN  HEIGHT OF CLIFF , DC=80m

Q: - How far from the wall of a building is the base of a 33 ft. ladder which makes an angle of 70"…

A: Here, hypotenuse = 33ft  Angle = 70°  We have to find the base .

Q: 4) The angle of elevation from a boat to the top of a 48-meter lighthouse is 25°. How far is the…

A: According to our terms and conditions I have solved first question for next question repost

Q: On a circle of radius 9 feet, what angle would subtend an arc of length 5 feet? degrees

A:

Q: In a circle of radius 8 miles, the length of the arc that subtends a central angle of 5 radians is…

A: Given Radius of circle is 8 miles Central angle = 5 radian

Q: From the top of a cliff 280 meters high, the angle of depression of a boat is 25°. How far from the…

A: We  Have to determine from the base of the cliff is the boat?

Q: On a circle of radius 5 feet, what angle would subtend an arc of length 7 feet? degrees

A: I have appended the formula used in the solution part.

Q: 1. To determine the height of a tree, a person stands 40 feet from the tree and finds that the angle…

A: As per the guidelines .i can solve only first question

Q: On a circle of radius 8 feet, what angle would subtend an arc of length 6 feet? degrees

A: it is a very easy concept of circle.

Q: Find the value of the angleθ in degrees rounded to the nearest tenth of a degree.

A: Given-  To Find- The value of the angle θ in degrees rounded to the nearest tenth of a degree.

Q: From the top of a 200-ft. lighthouse, the angle of depression to a ship in the ocean is 23° . How…

A:

Q: If you place a 18 ft. Ladder 3 ft. From the base of the wall, what is the angle measure of the…

A: The cosine of an acute angle (A) in a right angles triangle is given by:   cos(A)=Side adjacent to…

Q: An observer at the top of a building sees a car on the road below. The angle of depression to the…

A:

Q: A building 150 feet tall casts a 30 foot long shadow. If a person looks down from the top of the…

A: Given,

Q: 15) The angle of elevation from ground level to the top of a building is 62°. If the observer is…

A:

Q: 19. How far from the wall of a building is the base of a 30 ft. ladder which makes an angle of 75°…

A: Given that length of the ladder is 30 ft. which makes an angle of 75° with the ground. We have to…

Q: 1. How long is the ladder which makes an angle of 300 with the side of the house and whose foot is…

A:

Q: An escalator at a shopping center is 200 ft 9 in. (2409 in.) long, and rises at an angle of 15°.…

A: We have to find

Q: a1. The angle of depression from a bird sitting on top of a telephone pole to the base of a tree 12…

A: we are given with word problem.

Q: Given this triangle, what is the value of sec B?

A: Given Triangle is sec B =?

Q: A telephone pole in Valdosta casts no shadow at the same time as a telephone pole in Atlanta casts a…

A: Given A telephone pole in Valdosta casts no shadow And at the same time as a telephone pole in…

Q: On a circle of radius 9 feet, what angle would subtend an arc of length 1 feet? degrees

A: The radius of a circle is r=9 feet. The length of the arc is L=1 feet. The objective is to find…

Q: From a point on level ground 25 feet from the base of a tower, the angle of elevation to the top of…

A: Draw a schematic diagram of given figure.

Q: In a circle of radius 2, the length of the arc that subtends a central angle of 222 degrees is_____?…

A:

Q: On a circle of radius 9 feet, what angle would subtend an arc of length 7 feet? degrees

A: Arc length(l)=θ360°×2πr

Q: At a point 600 feet away from the base of a building, the angle of elevation to the top of the…

A: distance between the point and the base of the building is 600 m  angle of elevation to the top of…

Q: The angle of depression from the top of a building, 212 meters tall, to a point on the ground is…

A: 2.1

Q: On a circle of radius 8 feet, what angle would subtend an arc of length 3 feet? degrees

A:

Q: On a circle of radius 5 feet, what angle would subtend an arc of length 6 feet? degrees

A: Given that,  r = 5 feet Arc length = 6 feet. The formula to find angle is,

Q: The recommended safety angle of a ladder against a building is 78 degree. If a 10meter ladder will…

A: Let the safety height of ladder reach to building is x safety angle of ladder is 78° length of…

Q: From the top of a 25 meter tower erected at sea level, the angle of depression of a boat at sea was…

A:

Q: The angle of elevation to the top of the building is 69 If the firefighter is 26 feet from the…

A:

Q: What is the angle of elevation to the nearest tenth of a degree to the top of a 35-ft building from…

A: Let the angle of elevation to the building be θ. The height of the building = 35 ft.

Q: in a building, a person determines that the angle of elevation to the top of the monument is 15° and…

A:

Q: Find the measure of the central angle of an arc if its length is 14n and the radius is 18 m.

A:

Q: 19. How far from the wall of a building ia the base of a 35 ft. ladder which makes an angle of 70°…

A:

Q: From a point 250 ft from the base of a tower, the angle of elevation to the top of the tower is 18.5…

A:

Q: From the top of a 200-ft high tank, the angle of depression to a house is 15.5°. How far away is the…

A: Consider, AB represents the height of the tank and C represents the house; x represents the distance…

Q: 4. The angle of depression from the top of the castle to the boat is 25°. If the boat is 350 meter…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 13. Suppose a 15-foot ladder leans against the side of a house so that the angle of elevation of the…

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.