The pendulum on a grandfather clock swings from side to side once every second. If the length of the pendulum is 3 feet and the angle through which it swings is 10°, how far does the tip of the pendulum travel in 1 second? (

Q: the angle of elevation of the sun is 73° 30', how tall is a post that casts a shadow 1.2 feet long?…

A: The given condition is shown as below: Here, AB is the post and BC is the shadow formed by it. The…

Q: To measure a stone face carved on the side of a​ mountain, two sightings 800 feet from the base of…

A: We have to find the height of stone face.

Q: From a window 31.0 ft above the street, the angle of elevation to the top of the building across the…

A:

Q: To measure a stone face carved on the side of a mountain, two sightings 900 feet from the base of…

A: Given that:                        Distance of observation point from mountain base: d=900 ftAngle…

Q: If a loading ramp is placed next to a truck, at a height of 4 feet, and the ramp 23 feet long, what…

A: detailed solution is given below

Q: Two wheels are rotating in such a way that the rotation of the smaller wheel causes the larger wheel…

A:

Q: At a point 50 feet from the base of a church, the angles of elevation to the bottom of the steeple…

A: Given,          At a point 50 feet from the base of a church , the angles of elevation to the…

Q: An 85-foot rope from the top of a tree house to the ground forms a 45° angle of elevation from the…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: From a point A that is 8.80 meters above level ground, the angle of elevation of the top of a…

A:

Q: To measure a stone face carved on the side of a mountain, two sightings 850 feet from the base of…

A: Height and distance

Q: Suppose that you are headed toward a plateau 32.5 meters high. If the angle of elevation to the top…

A: Solve the following

Q: If a loading ramp is placed next to a truck, at a height of 4 feet, and the ramp is 23 feet long,…

A:

Q: The top of a 190-foot vertical tower is to be anchored by cables that make an angle of 30° with the…

A:

Q: 17 Use a half-angle formula to find the exact value of sec 12

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Q: Suppose the frame has a top tube length of 52.2 centimeters, a seat tube length of 49.0 centimeters,…

A: Given Top tube = 52.2 cm Seat tube = 49 cm Seat Angle = 75.0°   We can use the cosine rule here.…

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

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Q: A 22-ft ladder leans against a building so that the angle between the ground and the ladder is 77 °.…

A:

Q: If a loading ramp is placed next to a truck, at a height of 4 feet, and the ramp is 18 feet, what…

A: Given Truck height =4 feet Ramp length=18 feet

Q: 16 15

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Q: A 90-foot rope from the top of a tree house to the ground forms a 45° angle of elevation from the…

A:

Q: If the angle of elevation of the sun is 71° 30', how tall is a post that casts a shadow 1.6 feet…

A:

Q: ● From a point A the angle of elevation of a post is 460 10' while from a point D, 50 meters from A…

A: Note- As per our guidelines we have to answer only first question if multiple questions are…

Q: 1. AA pendulum is 40 cm long. If the end of the pendulum swings through a total distance of 13.5 cm,…

A: Given length=40 cmradius through which it swings is r=13.5 cmWe know that angle through which…

Q: Suppose that you are headed toward a plateau 51.8 meters high. If the angle of elevation to the top…

A:

Q: A 25-ft ladder leans against a building so that the angle between the ground and the ladder is 65°.…

A: Here, AB is the ladder.AB=65∠ABC=65° We need to find the value of AC.

Q: To find the height of a tree, a person walks to a point 30 feet from the base of the tree and…

A: Let height of tree be ABNow in triangle ABCtan 57 = PerpendicularBasetan 57 = ABACAB = 30 tan 57AB =…

Q: A bridge is supported by triangular braces. If the sides of each brace have lengths 63 feet, 46…

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Q: A straight 33-ft long ladder leans against a building so that the angle between the ground and the…

A:

Q: Suppose that you are headed toward a plateau 22.8 meters high. If the angle of elevation to the top…

A:

Q: A 33 foot ladder leans against a building so that the angle between the ground and the ladder is 75°…

A: Draw a schematic diagram of the given question. Given data, Length of ladder, AC = 33 ft Angle…

Q: A 12-foot metal guy wire is attached to a broken stop sign to secure its position until repairs can…

A: It is given that, A 12-foot metal guy wire is attached to a broken stop sign to secure its position…

Q: If a loading ramp is placed next to a truck, at a height of 4 feet, and the ramp is 19 feet long,…

A: In a right angled triangle:- Sin X = Perpendicular/Hypotenuse

Q: Solve the following word problems: 7. A light atop a 20-foot pole is shining down on a woman who…

A: Let the woman's shadow be x feet long . Given angle of elevation to the top is 30° .

Q: If a loading ramp is placed next to a truck at a height of 2 feet and the ramp is 17 feet long what…

A:

Q: A 88-ft tree casts a shadow that is 120 ft long. What is the angle of elevation of the sun? (Round…

A:

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

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

Q: A 137-foot antenna is on top of a tall building. From a point on the ground, the angle of elevation…

A: Given that: A 137-foot antenna is on top of a tall building. From the points on the ground the angle…

Q: A 84-ft tree casts a shadow that is 140 ft long. What is the angle of elevation of the sun? (Round…

A:

Q: If the measure of the arc from the Jaguar watch point to dock 1 is 53 degrees and if 0 = 64 degrees,…

A:

Q: 1. A ladder 8 meters long leans against the wall of a building. If the foot of the ladder makes an…

A:

Q: A 148-foot antenna is on top of a tall building. From a point on the ground, the angle of elevation…

A: Given Information -  An antenna is on top of a building. height of the antenna = 148 foot The angle…

Q: The radius of a wheel rolling on the ground is 79 centimeters. If the wheel rotates through an angle…

A: In this question we have to find the how many centimeters will wheel moves.

Q: If the angle of elevation of the sun is 75° 30', how tall is a post that casts a shadow 1.1 feet…

A: 30' = 0.5 degree

Q: A 26-foot long escalator is intended to carry people a height of 11 feet. During construction, at…

A:

Q: the angle of elevation of the sun is 77° 30', how tall is a post that casts a shadow 1.6 feet long?…

A:

Q: A 36-ft ladder leans against a building so that the angle between the ground and the ladder is 61°.…

A:

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

A:

Q: The cross section of a rivet has a top that is an arc of a circle. If the ends of the arc are 11 mm…

A:

Q: If the angle of elevation of the sun is 74° 30', how tall is a post that casts a shadow 1.6 feet…

A: Given that:

Q: a 10 yard rope is strung from the bottom of one tree to the top of another. The angle of elevation…

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.