1. A ladder is leaning against a 3.4 m tall building at an angle of elevation of 50°. Determine the length of the ladder to the nearest tenth of a metre. а. 3.9 m b. 3.0 m с. 4.4 m d. 5.3 m

Q: 39. Find the angle of depression from the top of a lighthouse 275 feet above water to a boat 1,324…

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Q: A tunnel is planned through a mountain to connect points A and B on two existing roads. If the the…

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Q: A lawn sprinkler has been set to rotate through an angle of 150° and project water out to 13 feet.…

A: Given that the sprinkler project water out to 13 feet. So radius= r= 13 feet Central angle=θ=150°

Q: 5. Give the corresponding formula for the area of a sector when the angle is measured in degrees.

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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: 1. Find the unknown side in the following right angle triangle. 7 m 10 m John is standing 100 m away…

A: 1. Consider

Q: If VU is congruent to VT and the measurement of angle V =40 degrees find the measurement of angle T.

A: Given VU is congruent to VT.i.e. VU≅VTMeasure of angle V=40∘ i.e. ∠V=40∘To find ∠T:

Q: 2. A 50-meter vertical tower is braced with a cable secured at the top of the tower and tied 30…

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Q: 6. Find the slant height of the cone to the nearest whole number. 19 m 10 m

A: To find the slant height of the cone

Q: 2) Calculate how far from the base of the tower Zachary placed the ladder. (hint: Youll need the top…

A: Topic:- geometry and trigonometry

Q: 3.) A window washer needs to reach a second story window whose sill is 18 feet high. He places a…

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Q: 9. Determine the distance between city hall and the library if city hall is 54 feet tall and the…

A: Given that: Height of city hall=45 ftAngle of depression=49°

Q: 4 Cm Fc llcm F

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Q: A triangular plot of land is enclosed by a fence. One side of the fence is 45.3 m long and an…

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Q: The angle of depression from the top of a building to a point on the ground is 32°30'. How far is…

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Q: A guy wire attached to the top of a radio antenna is bolted to the ground 48 m from the base of the…

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Q: 1. From a corridor of VNHS …ain building 50 m above the ground level, the angle of depression of I…

A: Height and distance

Q: 2. The base of an isosceles triangle is 8 feet long. If the altitude is 6 ft long and is increasing…

A: According to the given information the figure is,   AB = 8 feet AD = 4 feet CD = x

Q: 4. A farmer has a triangular field. From one corner of the field, it is 435 m to the second corner…

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Q: 9) A sonar operator on a cruiser detects a submarine at a distance of 500 m and an angle of…

A: Let the depth of the submarine be x . x=?

Q: if a ship deviate from course by 10 degree sand 15 miles travel? How many miles will away from route…

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Q: In the triangle ABC in Figure 1.2, sides a and c were measured as & and 10 cm with 0.1 and 0.2…

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Q: A ladder measuring 2.38 m in length is leaning against a wall. If the angle the ladder makes with…

A: In a right angled triangle, the sine of an angle(other than the right angle) is equal to the ratio…

Q: 7. Two guy wires 27 m and 15 m in length are to be fastened to the top of a TV tower from two points…

A:

Q: 1. From the top of the cliff 126m high, the angle of depression of a boat is 20.7°. How far is the…

A: given:-  angle of depression=20.7 height=126m

Q: 18. Find the length of the hypotenuse of a right triangle with a leg of length 34 inches and a 25°…

A:

Q: 1. From the top of a cliff 400 feet above sea level, the angle of depression of a boat out to sea is…

A:

Q: 1) An airplane is flying at an altitude of 6000 m over the ocean directly toward a coastline. At a…

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

Q: 23. A car is traveling around a circular road whose diameter is 10 m. If the distance traveled by…

A: Given a car is travelling around a circular road whose diameter is 10 m. Distance travelled by the…

Q: 4. A truck driver estimates that a country road rises 40 cm every 6 m along the road. What is the…

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Q: 3) The radius of a circle measures 25 m. Calculate the angle between the tangents to the circle,…

A: Given Since The radius of a circle is perpendicular to the tangent line through its endpoint on the…

Q: 8 cm 50

A:

Q: 7. Two guy wires 27 m and 15 m in length are to be fastened to the top of a TV tower from two points…

A: cosine law of triangle                                         c2=a2+b2-2abcosθwhere θ is angle…

Q: 3. The angle of depression from the top of a building to a point on the ground is 32 30'. How far is…

A: According to the guidelines issued by the company We are supposed to answer only one question.…

Q: A large window is to be cut in the shape of a decoy with a central angle of 130 degrees and a radius…

A: A large window is to be cut in the shape of a decoy with a central angle of 130 degrees and a radius…

Q: The angle of inclination from the base of skyscraper A to the top of skyscraper B is approximately…

A: We can use trigonometric ratios to answer this question.

Q: Find the area of a se tor of a circle with the radius 6 cm.if the angle of the section is 60o

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Q: 32) From a horizontal distance of 80.0 m, the angle of elevation to the top of a flagpole is 18°.…

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Q: d) If a 6 foot tall ladder is leaning against a wall forming a 40 degree angle with the ground. How…

A: We are given with the word problem

Q: Solve for the missing 4 cm information, given that the two triangles are SIMILAR. y (If a decimal…

A: Given similar triangles:  △ABC~△DEC That is, Similar triangles have a common ratio for their…

Q: 13 14 15 The horizontal distance on a survey map from the top edge of a riverbank to the river is 85…

A: To find the angle of depression

Q: 2. A 21-ft ladder leans against a building so that the angle between the ground and the ladder is…

A:

Q: 24. How far up a vertical wall can a 4-meter ladder reach if the angle it makes with the ground is…

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Q: A 75 feet long conveyor is used at Home Depot to unload equipment from the truck to the platform.…

A: Given : A75 feet long conveyor is used at home depot to unload equipment from the truck to the…

Q: 2. From a point 20 m from the base of a building, the angle of elevation of the top of the building…

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Q: 1. The bases on a baseball diamond are 27.4 m apart. The pitcher pitches, and the batter hits a fly…

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Q: What is the angle in degress subtended by a sector  with an area od 39.27cm² and a

A: let θ be the angle subtended by the sector the area of the sector is given by area of sector…

Q: 12. 10.5 ft 8.0 ft

A: We can calculate this by finding third side by Pythagoras theorem and then calculate angle in degree…

Q: 16. The minute hand of a clock has length 15 cm. How long will it sweep out an angle of 105°? How…

A: The minutes hand of a clock has length 15 cm The given angle is 105 degree We know that in a clock…

Q: Determine the possible measurements of the third side of a triangle whose first side has length a =1…

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.