1. Points A and B are on opposite sides of a lunar crater. Point C is 50 m from A. The measure of Z BAC is determined to be 112 and the measure of ZACB is determined to be 42°. What is the width of the crater?

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: Given a circle of radius r, having a central angle of θ (in degrees), show the area of that circular…

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Q: Using the fact that 7 rad = 180°, find the degree equivalencies for the following angles measured in…

A: Given:  π rad=180°To compute : For a given angle measured in radians…

Q: The hypotenuse of triangle ABC has a length of 5. For angle A, the opposite side BC has a length of…

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Q: A circle with a radius of 15 yards contains a sector with an area of 609 yde. Find the measure ofthe…

A: Given, The radius of circle = 15 yards  Area of sector = 609 yard2  We have to find the measure of…

Q: What is the value of csc 0 if the terminal side of angle 0 intersects the unit circle in the first…

A: We have to find value of csc if the terminal side of angle to theta intersect the unit circle in the…

Q: 2. A pyramid has a square base of side length 10.5 m. The slant height of the pyramid is 19.5 m. a)…

A: Given slant height = S= 19.5  a= 10.5/2= 5.25 We have to find h  We will use the Pythagorean theorem…

Q: For triangle ABC, we are given that mZC = 98.5°, AC = 13.1 ft, and BC = 21.5 ft. We can use the Law…

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Q: A backyard slide is designed for a child's playground. If the top of the 15-ft slide makes an angle…

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Q: Suppose arc AB shown below has measurement of 94 degrees and arc BC has a measurement 120 degrees.…

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Q: If the central angle is 4π/3 radians, what should the radius of a circle be to make the arc length 2…

A: Given that central angle is 4π/3 radians Arc length =2m To find the radius of a circle

Q: From the earth, the moon subtends an angle of approximately 0.5°. If the distance to the moon is…

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Q: A satellite is circling above the earth as shown below. When the satellite is directly above point…

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

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Q: A right angled triangle ABC has sides AB-5, AC=3 and CB-4. If the right angle is at C, calc ulate…

A: A right angled triangle ABC has sides AB=5, AC-3 and CB=4. If the right angle is at C, Calculate Tan…

Q: If O is an angle in standard position and its terminal side passes through the point 2 2 on a unit…

A: The terminal side of an angle passes through the the point x,y = 12,32 on a unit circle. To evaluate…

Q: A pyramid has a square base of side length 10.5 m. The slant height of the pyramid is 19.5 m.  a)…

A: Side length =10.5m slant height =19.5m firstly find length of base diagonal after that using…

Q: If the radius of a circle is r and the length of the arcsubtended by a central angle is also r, then…

A: To find the correct option

Q: Question 25 What is the measure of angle a, to the nearest tenth of a degree? The side lengths are…

A: In the given right triangle  Opposite = 50 cm Hypotenuse = 70 cn

Q: In circle A as shown below, segment DC is tangent to circle A at D. Also, DC = 4 and BC = 2. A C…

A: According to our company policy we can answer only the first question and rest can be reposted

Q: Question 25 On a circle of radius 9 feet, what angle would subtend an arc of length 5 feet? (Round…

A: Given; Radius=9 feet Arc length=5 feet

Q: The terminal side of the angle & drawn in standard position intersects the unit circle (, - ). at…

A: To find: The value of csc θ. Given: The terminal side of the angle θ drawn in standard position…

Q: If the radius of a circle is r and the length of the arc subtended by a central angle is also r,…

A: The correct option is identified as follows.

Q: The area of a sector of a circle with a central angle of 1/5π rad is 22 cm². Find the radius of the…

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Q: Given that csc(θ)=13/5 and θ is in Quadrant I, what is cot(θ)? Write your answer in exact form. Do…

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Q: A central angle on a circle measures 135◦ and has a diameter of 7cm. Find the following values: (a)…

A: Length of arc is d2θ where d is diameter and θ is angle in radians:  d2θ=72135180×π       =2.625π cm

Q: 5. In the accompanying diagram, BA is tangent to circle O at A. Radii OA and OC are drawn, and OC is…

A: The tangent of a circle is a line drawn to the circle which touches the circle at only one point. It…

Q: ● Question 3 The height of a right triangle with base angle 45° and base 4 is

A: Given query is to find the height of the triangle.

Q: A circle with a central angle of 135°, and the length of the arc is 67 radians. How long is the…

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Q: Question 27 What are the measures of the unknown sides and angles in this triangle? Round all angles…

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Q: The angle that a quarter of a revolution makes is equal to: None of the above O 45°

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Q: Based on the triangle below, angle H is equal to ___ degrees. *(round to one decimal place)

A: Given,

Q: Question 6 A piece of fabric is in the shape of a right angle triangle as shown. What is the measure…

A: Given: A right-angled triangle with base 5.2 cm and perpendicular height 4.3 cm. In the given…

Q: What is the value of cot 0 if the terminal side of angle 0 intersects the unit circle in the first…

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Q: The area of a sector of a circle with a central angle of 2?/11 rad is 19 m2. Find the radius of the…

A: Given: Area of the sector =19Central angle =2π11 To Find the radius of the circle.

Q: 1.] The angle of depression from the top of a 30-meter cliff to a boat is 25°32'. a.] How far is the…

A: First draw the digram then then convert the angle in degree then use trigonometric relation and…

Q: In the accompanying figure, triangle ABC is in the horizontal plane and line CD is vertical. If side…

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Q: 12 ft X. 18 ft

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Q: To find the distance between two small towns, an electronic distance measuring (EDM) instrument is…

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Q: A sector of a circle has an angle of 150° ar Round your answer to the nearest tenth of

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

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Q: If angle A = -in radians, what is the degree measure of A? Provide your answer below:

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Q: Find the width of a river at points A and B if the angle BAC is 90°, the angle ACB is 40°, and the…

A: From the given figure: ∠BAC=90°AC=75 feet∠ACB=40°

Q: Question 19 The side lengths of the sides of a triangle are a = 22 cm, b = 25 cm, and c = 17 cm.…

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Q: 26. What is the radius of a circle if the central angle of a sector is 22°, and the arc length is…

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Q: In an acute angled triangle ABC, If an tan(4+ B-C) =land, sec (B+C-A) = 2, Find the value of A, B…

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Q: A tunnel is planned through a mountain to connect points A and B on two existing roads, as shown in…

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Q: The area of a sector of a circle with a central angle of 5pai/12 rad is 20 m2 . Find the radius of…

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Q: an aircraft is spotted by two observers who are 1000 feet apart. as the airplane passes over the…

A: Given that  an aircraft is spotted by two persons who are 1000 feet apart . angles are 40°, 35° find…