Excel in Mathematics Grade 10 (Form 4) Revision 7-Pa 14. In the triangle, angle XYZ - 90 and angle YXZ= 30. Fis the foot of the perpendicular from Y to XZ and YF 10 cm. la) State the size of angle FYZ. (b) Using as much of the information below, as is necessary, find the length of (i) XY, (ii) YZ. 10 30 Isin 30 - 0.5 cos 30 = 0.860 tan 30 = 0.577|

Q: The 4.9 m long ropes of a swing make an initial angle of 12.2 degrees with respect to the vertical…

A: Given that The 4.9 m long ropes of a swing make an initial angle of 12.2 degrees with respect to the…

Q: Padra is planning to create a lounge area on the north side of his house that is shaded from the sun…

A: Padra is planning to create a lounge area on the north side of his house that is shaded from the sun…

Q: Three guy wires are being used to support a radio tower. One end of each wire is attached to the top…

A:

Q: A 15 feet support wire is attached to a telephone pole at a point 9.5 feet below the top of the pole…

A:

Q: Draw a plane intersecting a cube to get the cross section indicated. equilateral triangle Choose the…

A: We have to draw a plane such that it intersects a cube to get the cross section of equilateral…

Q: The triangle abc (in UHG-universal hyperbolic geometry) is equilateral, i.e., the quadrances are all…

A: Given that, The triangle abc (in UHG-universal hyperbolic geometry) is equilateral, i.e., the…

Q: Find the acute angle of intersection of the planes x = 0 and 6x – y+z – 9 = 0 to the nearest degree.…

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

Q: Distinguish the prism as oblique or right and by the number of sides of its base. Show your work and…

A:

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 baseball diamond is a square 90 ft on a side. A player runs from first base to second at a rate of…

A: a. Find the change in distance when the player is 30 ft from first base.Sketch the baseball square…

Q: How to find a and b for a triangle when I only know that c is 15? (using the pythagorean theorem)

A: Concept: Pythagoras theorem: It states that the addition of the squares of the perpendicular and…

Q: A vertical plane intersects the triangular prism. Which best describes the cross section? C

A: Question said that there is a triangular prism which is intersected by a plane and we have choose a…

Q: Eve, an Al robot travelled to moon for US's space exploration. AS part of the mission, she is to set…

A:

Q: 5. Find m. 3m 2m 2m

A: We have to find the value of "m".

Q: A trough for holding water is to be formed as shown in the figure below. Determine the angle 0 that…

A:

Q: In circle T with mZSTU = 30, find the m/SVU. %3D V,

A: Angle subtended by two points (S,U) on the circle on another point on the circumference of the…

Q: 9. Sketch the triangle in the coordinate plane whose vertices are (0,-2), (2, 3). and (4,-2). Find…

A:

Q: Whe comparing a trapezoid and a kite one similarity is that they both have?

A: Query-When comparing a trapezoid and a kite one similarity is that they both have? Answer- A kite is…

Q: On your paper draw a segment roughly as long as the one shown. Use it in Exercises 3 and 4. 3. Draw…

A: Construct an acute angle XYZ using the using the line segments.

Q: 12. a 14-foot ladder makes a. 55°angle wl the ground as it leans against a buildin. theladder lean…

A: Given: A 14 - feet ladder makes a 55° angle with the ground as it leans against a building. To find:…

Q: Find the lateral (side) surface area of the cone generated by re-volving the line segment y = x/2,…

A: Obtain the lateral surface area as follows.

Q: 5) Find the distance between the pole and the point (r, 0) = (-1, ). %3D

A: A detailed solution is given below.

Q: A hiker, who is 6 feet tall, is standing on the ground looking up to the top of a tree with an angle…

A:

Q: Aline is drawn from point ( 4, 4) to the point (-3,-3), what acute angle does it make with the-ive…

A:

Q: Find the isogonal trojedories of x*+y? =r at 45",

A:

Q: Illustrate the specific right triangle and Compute for the unknown. 1) Hypotenuse=7, Adjacent=D5,…

A: Right triangles with its sides and angles are given, we have to find the missing values.Properties…

Q: What are the (x, y) coo

A: we can find the coordinates using the trigonometry- x = rcosθ = cos(2π/3) = -0.5 y = rsinθ =…

Q: A crossed belt connects a 16-centimeter pulley (x = 8-cm radius) on an electric motor with a…

A: "Since you have posted a question with multiple sub-parts, as per our guidelines we will solve first…

Q: EXERCISES 4.2 1. Prove the Converse to the Isosceles Triangle Theorem (Theorem 4.2.2).

A: We have to prove the converse of the isosceles triangle theorem

Q: Distinguish the prism as oblique or right and by the number of sides of its base. Show your work and…

A:

Q: Jada cuts out a rectangular piece of paper that measures 5 inches by 4 inches. Han cuts out a paper…

A:

Q: Triangle MNQ with Exercises 34, 35 obtuse ZMNQ MR 1 NQ Given: Construct:

A: For the triangle MNQ determine the character for the remaining angles. Given, ∠MNQ=obtuseSo,…

Q: The picture below shows a box sliding down a ramp: 12 ft What is the distance, in feet, that the box…

A: The distance from the point A  to point C is:

Q: gymnasıum is 30 metres high, 80meters wide and long For a half time stunt, the cheerleaders want to…

A: basketball gymnasium is 30 metres high, 80 meters wide and For a half time stunt, the cheerleaders…

Q: 5) A frameless painting with a size of 2 meters by 2 meters hangs on the side of a wall where its…

A: answer is in next step

Q: 2. At what point on the line y = b does the line segment from (0,0) to ( a,0) subtend the greatest…

A: At what point on the line y = b does the line segment from (0,0) to ( a,0) subtend the greatest…

Q: Find the reference angle ' for the special angle 0. 0 = 245° 0' = Sketch in standard position and…

A:

Q: The cross section of a rain gutter is shown below. It is made of a steel sheet that is bent at two…

A:

Q: A ship is headed directly toward a coastline formed by a vertical cliff (BC) that is 80 meters high.…

A: A ship is headed directly toward a coastline formed by a vertical cliff (BC) that is 80 meters high.…

Q: spherical: (3, * , ) Change to rectangular.

A: Given,Spherical coordinates: 3,3π4,π3

Q: 8. To temporarily support a wall during construction, the workers allow the wall to tilt towards…

A:

Q: 4. Suppose a tow truck drags a broken car along a road. The towing cable makes an angle of 30° with…

A: suppose a tow truck drags car along a road the towing cable makes an angle 30° with the road and the…

Q: A new building is being constructed a distance of 420 feet from the ocean, and the builder wants to…

A: Explanation and solution is given below....

Q: 4. To measure the height of cloud cover at an airport, a worker shines a spotlight upwards at an…

A:

Q: A new building is being constructed a distance of 420 feet from the ocean, and the builder wants to…

A: Ocean to building =420 ft Ocean to new building =180ft Height of new building=15ft

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: What is YZ for the triangle XYZ ?

A: Tantheta = opposite / base

Q: he city park district is planning on sodding the outfield of the little league baseball field. The…

A: This is a baseball field. Here side of home plate = 60 ft Radius of sector =310 ft We have to find…

Q: A roller-coaster car moves 200ft horizontally and then rises 135ft at ang angle of 30° sbove the…

A: Draw he graph according to given information, which is given below. Draw it out on a coordinate…

Q: How can we use the Pythagorean theorem to find the length of segment AB, or in other words, the…

A: Given: The two points are A = (-2,1) and B = (3,3) To Find: The distance between A and B

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.