To find the distance across a river, a surveyor choose on the opposite side of the river and finds that LBAC

Q: A man standing near a radio station antenna observes that the angle of elevation to the top of the…

A:

Q: The lengths of the sides of the triangle are 10.6 centimeters, 8 centime- ters, and 14.5…

A: Let's assume, a = 10.6 cm b = 8 cm c = 14.5 cm

Q: To find the distance across a small lake, a surveyor has taken the measurements shown. Find the…

A:

Q: From the top of a tower 63.2 feet high, the angles of depression of two objects situated in the same…

A: Given- Height of tower=63.2feet Angle of depression of two objects are- α=31∘16' and β=46∘28' We…

Q: A piece of wire is attached from the top of a 45 foot utility pole to a stake in the ground. If the…

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

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Q: An isosceles triangle has an angle that measures 100°. What measures are possible for the other two…

A: An isosceles triangle has two angles that are equal in measurment.

Q: If a triangular parcel of land has sides of lengths 541 feet, 429 feet and 395 feet. What is the…

A:

Q: In a right triangle, the side opposite angle phi has a length of 29.0 meters, the side adjacent to…

A: cot(phi) = base/perpendicular

Q: The front wheel of a tricycle has a circumference of 56 inches, and the back wheels have a…

A: topic - lowest common multiple 56=2*2*2*7 24=2*2*2*3 LCM(56,24)=2*2*2*3*7=168

Q: What is the measure of the angle complementary to 12 degrees

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Q: Suppose the radius of circle C is two times the radius of circle C,. Discuss the relationship…

A: In the given question, given that two circles s.t C1 and C2 and radius of the circle C1 is two times…

Q: The diameter of a wheel is 48 inches. degrees through which a point on the circumference turns when…

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Q: One angle in a parallelogram measures to be 71 degrees. What is the measure of one of it's adjacent…

A: Topic:- geometry

Q: If humans have SSIX QUms, then they can see into the futune

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Q: A man standing near a radio station antenna observes that the angle of elevation to the top of the…

A:

Q: The sides of a parallelogram are 14 ft and 16 ft. One angle is 41° while another angle is 139°. Find…

A: Let ABCD be a parallelogram with sides AB=CD=14 ft and BC=DA=16 ft, angle ABC=139 degrees and angle…

Q: 24

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Q: An 18 - foot high lamppost casts a shadow. If the angle of elevation from the tip of the shadow to…

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Q: A triangular swimming pool measures 42 feet on one side and 68 feet on another side. These sides…

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Q: when the sun is at a certain angle in the sky, a 20-foot flagpole will cast a 16 foot shadow. How…

A:

Q: A broken flagpole forms a right triangle with the ground. If the angle which the broken part makes…

A:

Q: The line segment FA is congruent to which line segment?

A: Use pythagorous theorem to solve

Q: person observes that a wire runs from the top of a building to the ground 40 meters away. If the…

A: Given: A person observes that a wire runs from the top of a building to the ground 40 meters away.…

Q: In a triangle, one angle is equal to 60" Find the obtuse angle formed by angle bisectors of the…

A: Considering triangle ABC, Given, Angle A= 60° Let the bisector of angle B and C meet at O.

Q: What are the side lengths of this triangle rounded to the nearest tenth?

A: The given triangle ABC is right angled triangle, so we apply trigonometric ratios to find the length…

Q: A 28-foot long piece of wire is attached to the top of a pole at one end and nailed to the ground at…

A: Wire length = 28 foot Angle = 30°

Q: Find the length of the altitude to the 26-in. side of a triangle whose sides are 10, 24, and 26 in.…

A: Sides of the triangle are 10, 24 and 26 inches. Clearly, 102+242=262 Therefore the given triangle…

Q: The measure of one of the base angles in an isosceles triangle is 70 degrees. What is the measure of…

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Q: A radio transmission tower is 205 feet high. How long should a guy wire be if it is to be attached…

A: A radio transmission tower is 205 feet high . We find how long should a guy wire be if it is to be…

Q: To approximate the length of a marsh, a surveyor walks x=420 meters from point A to point B, then…

A: Let θ represents ∠BCA, and ϕ represents ∠BAC. Solve for ∠ABC, ∠ABC+75°=180°⇒∠ABC=180°-75°⇒∠ABC=105°…

Q: Find all the missing side lengths and angle measures of the triangle.

A:

Q: A cable wire is used to support a tower 250 m tall. If the cable makes an angle of 72" with the…

A:

Q: If the Angel of elevation of the sun is 63.4 degrees when the building casts a shadow of 37.5 feet,…

A: Use the formula of, tan x= opposite/ adjacent

Q: The top of a 250 foot vertical tower is to be anchored by cables that make an angle with a measure…

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Q: Two sides of a parallelogram are 50 cm and 70 cm long. Find the length of the shorter diagonal if a…

A: Given: Two sides of the parallelogram are 50 cm and 70 cm.

Q: Three pieces of steel angle are welded to form a triangle.  If two pieces are welded at a 53.0°…

A:

Q: A triangle with the base of 9 m has an altitude of 12 m which would give the area of the triangle

A: Given that A triangle with the base of 9 m has an altitude of 12 m. To find the area of the triangle

Q: If a wagon wheel had 10 more spokes, the angle between spokes would decrease by 3°. How many spokes…

A: Given data is : A wagon wheel has 10 more spokes, the angle between spoke is decrease by 3∘ To find…

Q: A triangle has side lengths 15 and 8. Which could be the length of the third side?

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Q: The angle of depression of a submarine from another ship is 28 degrees. The submarine is 791 feet…

A:

Q: A radio transmission tower is 180 feet high. How long should a guy wire be if it is to be attached…

A:

Q: Find the length of the third side. If necessary, round to the nearest tenth. in the picture

A: It is given that, The length of the perpendicular side of the right-angle triangle is, P=12 length…

Q: The central angle of a circle measures 100 degrees, while the area of the sector including that…

A: The central angle of a circle measures 100° and the area of the sector including that angle is 40π.…

Q: If a wagon wheel had 15 more spokes, the angle between spokes would decrease by 4°. How many spokes…

A:

Q: To measure a stone face carved on the side of a​ mountain, two sightings 700 feet from the base of…

A:

Q: How long is the ladder which makes an angle of 30° with the side of the house and whose foot is…

A: Given: The ladder makes an angle of 30° with the side of the house and whose foot is 204cm away from…

Q: diagonals of the parallelogram​

A:

Q: The lengths of two consecutive sides of a parallelogram are 6 inches and 9 inches. The included…

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.