Point C is located on AB such that the ratio of AC : CB is 3:2. What is the x-coordinate of C?

Q: The law of cosines generalizes the Pythagorean theorem. True or false?

A: Law of cosine is

Q: 4.] From point A on the ground 30 meters away from the building, the angle of elevation to the base…

A: Topic :- Trigonometry

Q: A 34-ft ladder leans against a building so that the angle between the ground and the ladder is 76°.…

A: Consider the triangle: To Find- How high does the ladder reach on the building or Find AB.

Q: Line PQ is tangent to circle C at point P. Segment PQ is 11.9 units long and angle PQC is 40…

A: From the given figure, we have find the measure of PCQ

Q: A triangle has been drawn on the unit grid. Which is the area of the triangle?

A: Find area of triangle ?

Q: Consider a right triangle with a side of length x opposite angle A, a side of length y opposite…

A: We can find the value of y and z as below

Q: 3. What angle does the string need to form with the ground so that the kite is 30 feet off of the…

A: We have to find angle A. We have AC=65 meters and BC=30 feet =9.144 meter

Q: 5. A rectangular piece of wood 4 cm. x 2 cm. tall is tilted at an angle of 45 degrees. Find the…

A: The length and breadth of the rectangle are 4cm and 2cm rescpectively.

Q: A submarine starts on the surface, and dives at an angle of 15 degrees to the surface. It goes…

A: topic - trigonometric ratios cos (theta)= adjacent/hypotenuse

Q: A right triangle ABC have its right angle at A. If AB=x-y and BC=x+y, what is the value of side AC?

A:

Q: 313

A: Definition used -               1) Sum of the internal angles of a quadrilateral is 360°.…

Q: Point P is on line segment OQ. Given OQ = 4x + 2, PQ = 4x 10, and OP = 3x 3, determine the numerical…

A: From the given information,        OP=3x-3    PQ=4x-10   OQ=4x+2

Q: Point A is at (-6,-5) and point Cis at (4,0). Find the coordinates of pointB on AC such that the…

A:

Q: A tree casts a shadow 36 m long when the sun’s rays are at an angle of 22° to the ground. How tall…

A:

Q: rectangle is 80 cm long and 20 cm wide. Find to the nearest degree, the acute angle formed at the…

A: We have to find the acute angle

Q: Draw two triangles ABC and A'B'C' on different planes such that the two triangles are perspective…

A: We need to draw two triangles such that the two triangles are perspective from a line and from a…

Q: A sector of area 2π/5 square inches is formed by a central angle of 45°. What is the radius of the…

A: The area of a sector is given by:

Q: The angle of elevation of point C from point B is 29 degrees; the angle of elevation from C from…

A: Use trigonometric ratio to find the required height.

Q: Find the ratio in which the point p whose abscissa is 3 divides the join of A(6, 5) and B(-1, 4) and…

A:

Q: Line BD is tangent to a circle with diameter AB. Explain why the measure of angle BC A must equal…

A:

Q: Consider a right triangle with a side of length x opposite angle AA, a side of length yy opposite…

A:

Q: What is the measure of Angle 1 in this figure?

A: Angle 1 is 130 degree explanation is given below in the image.

Q: 2. A bullet is fired at an angle of elevation of 36°. What is the muzzle speed if the maximum height…

A:

Q: Line BD is tangent to a circle with diameter AB. Explain why the measure of angle BCA must equal the…

A: Given data: The tangent on a circle is given by BD. The diameter is given by AB.

Q: When it was constructed 4,500 years ago, the Great Pyramid in Egypt had a height of 147 meters and…

A:

Q: The leaning tower of Pisa was originally perpendicular to the ground and 179 feet tall. It now leans…

A:

Q: 7. A 14 foot ladder is used to scale a 13 foot wall. At what angle of elevation must the ladder be…

A:

Q: 2. A broadcast antenna is located at the top of a building 1000 feet tall. From a point on the same…

A:

Q: The sides of a parallelogram are 8 cm and 10 cm and the angle between them is 130°. Use cosine rule…

A:

Q: A rectangle has dimensions 10 cm by 5 cm. Determine the measures of the angles at the point where…

A:

Q: A right triangle is inscribed in a circle with a radius of length 5 cm. If one of the angles of the…

A:

Q: Find the tangent ratio of angle BCK.

A: Fake triangle ABK, We know that total interior angles of a triangle sum up to 180°. A+B+K=180°…

Q: A ladder 16 feet long leans against the side of a building, and the angle formed by the ladder and…

A: Given, Length of ladder = 16 feet

Q: In a right triangle, tan 6 0.75. Which side is longer, the opposite or the adjacent side? Explain…

A:

Q: 4. The base of a painting on a wall is a feet above the eye of an observer. The vertical side of the…

A: In above diagram ∠1 = θ, ∠2 = α

Q: Point I is on line segment HJ. Given HJ = 8 and HI = 2, determine the length IJ.

A:

Q: Find the coordinates of point P that divide AB into the given ratio from A to B. A(-10, 13), B(5,…

A:

Q: Point A is at (-3, 4) and point C is at (2, –6). Find the coordinates of point B on AC such that the…

A: Given data are

Q: Why will the cosine ratio never be ambiguous within a triangle?

A: If we restrict our attention to triangle angles, between 0⁰ and 180⁰, we see the difference between…

Q: Point T is the midpoint of AB. If TB = 6, find the length of AB. %3D AB = %3D

A: Since T is the mid-point of AB, AB=2TB     1

Q: 7. A dog on a leash anchored to the ground can move up to 18 m. A point, A, at one end of a wall is…

A: We can. Calculate this by help of trigonometry and simple calculation

Q: Point D is on line segment CE. Given DE = x+2, CD = 3x + 2, and CE = 5x + 2, determine the numerical…

A: Given D is a point on CE such that DE=x+2CD=3x+2CE=5x+2

Q: Find the tangent ratio of angle BKC.

A: The tangent ratio of ∠BKC is tanK=opposite sideAdjacent side K=45° tan45°=BCBK 1=BCBK

Q: 2. When a man measured the angle of elevation of the top of the tower from a cert point, it was…

A: Given problem:- When a man measured the angle of elevation of the top of the tower from a certain…

Q: Point I is on line segment HJ. Given IJ = 4 and HI = 8, determine the length HJ. %3D %3D

A:

Q: The angle of elevation from point X to the top of a building is 52°. If point X is 125 feet from the…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: Two vertical poles, A and B, cast shadows on the ground with lengths of 12 and 25m respectively. If…

A: From the given problem the representative diagram is as shown below: Let the height of pole A is y…

Q: A rectangle has dimensions 10 cm by 5 cm .Determine the measures of the angles at the point where…

A:

Q: 14, A cell phone tower Is anchored by two cables on each slde for support. The cables stretch from…

A: Given : A cell phone tower is anchored by two cables on each side for support. The cables stretch…