Take west to be the positive direction. The height of a sloped roof above the place where you stand is h = 15 feet (see the figure below). If you move 5 feet west, the height is 10 feet. If you move 4 additional feet west, what is the height of the roof above the place where you stand?   ft

Q: If -180° < A< 0°, then terminates in which quadrant? て一2

A: -180°&lt;A&lt;0°To find the quadrant in which A2 terminates

Q: feet tall. Look at the model to the right. If the camera lens has angles of depression and elevation…

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

Q: Solve the follwing and show your solution A four meter ladder leans against a wall. If the foot of…

A:

Q: Solve the problem. Two sailboats leave a harbor in the Bahamas at the same time. The first sails at…

A:

Q: What is the direction of [?] degree (-6, -4) Round to the nearest hundredth. 1+

A:

Q: The lengths of the three sides are given for several right triangles. For each, write an equation…

A: We know that in a right angle the square of longest side is equal to sum of square of  other two…

Q: Use the Pythagorean theorem to calculate the diagonal of a TV is it's length is 34 inches and its…

A: First draw a rough sketch of the TV

Q: A boat leaves port, travels 11.84 miles, turns 20 degrees, and travels another 4.43 miles. How far…

A: Given that:    c=11.84 mi; a=4.43 mi

Q: A boat leaves the rina and salis 13 miles northeast, then 12 miles east. In what direction must the…

A:

Q: . A man on an island a miles south of a straight beach wishes to reach a point on shore b miles east…

A: Consider the provided diagram, Time to row, t1=sr Time to walk, t2=b-xw

Q: details are in the image

A: Here we will use triangle proportinality theorem,

Q: Jason is flying a kite and has 325 feet of kite string out. The angle of elevation between Jason's…

A: Solution:- length of string = 325 feet    angle of elevation=58∘  AE=3 ft.

Q: The figure shows that a bicyclist tips the cycle when making a turn. The angle B, formed by the…

A: Given that banking angle is B and let radius is r. Since banking angle B varies inversely as the…

Q: An airplane flies 165 miles from point A in the direction 130° and then travels in the direction…

A: Use the law of cosines to find the third angle of triangle

Q: Lines l and m are parallel to each other. 124° **** 80°

A: Now, The external angle at C is 124°, because the corresponding angles are equal when the…

Q: ranslate the point and give the resulting coordinates (5,4);(-3,8)

A: To translate the point and give the resulting coordinates (5,4) with respect to (-3,8)

Q: A ship sails from a harbor for 16 nautical miles south. It then sails in the direction S 55 E for 18…

A:

Q: Use the Pythagorean theorem to calculate the diagonal of a TV is it's length is 34 inches and its…

A: Consider a TV whose length is 34 inches and it width is 17 inches. We have to find the diagonal…

Q: An airplane leaves an airport and travels 100 mi in a direction of 300o. How far north of the…

A:

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

A: Redraw the diagram as shown below:

Q: A ship leaves port and travels 25 miles in the direction N 61° E. Another ship leaves the same port…

A:

Q: If a 35 foot tree care a 40 foot shadow how tall he is a tree that cares a 48 foot shadow

A:

Q: A plane with an airspeed of 450 miles per hour is flying in the direction N35°W.

A:

Q: A boat leaves port, travels 10.67 miles, turns 20 degrees, and travels another 4.97 miles. How far…

A:

Q: A pilot flies in a straight path for 1 hour and 30 min. She then makes a course correction, heading…

A: Apply distance = speed * time  And proceed as shown...

Q: Use the diagram below to answer the question that follows. в E If AB is parallel to CD, which of the…

A:

Q: Find the direction of v:v =(7,-2)

A: Given: v→=7,-2

Q: Same direction, then ||-u + ~w|| = ||-u|| + || ~w|]. %3D

A: In this question, we prove the relation between two vectors in Rn since ~u and ~w are parallel so…

Q: An observer standing 18 feet from the side of a building, finds that the line of sight to the top of…

A:

Q: A monument near a dock is 12 miles east of a ship. After the ship has sailed 7 miles, the monument…

A: Solution:

Q: Find the height of the flag pole when the base is 12,the height of a man is 1.5meters and the…

A:

Q: Find the value of each variable in the parallelogram: refer to page 1 1. a = b = 2. g = h = i = 15…

A:

Q: l and m are parallel to 54°

A: Construction: Extend the line p up to line m as shown in the below figure.

Q: Use an algebraic equation to find the measure of each angle that is represented in terms of x.…

A: Given equation 13x-36=8x+29 =&gt; 13x-8x = 29+36 =&gt; 5x = 65

Q: A diagonal ramp is attached to the back of a tow truck. The ramp is 4 feet in height and forms an…

A: The height, ramp and the base form a right angled triangle. The angle made by ramp with ground is a.…

Q: A boat leaves port, travels 8.34 miles, turns 20 degrees, and travels another 2.93 miles. How far…

A: Given that:a=2.93 milesc=8.34 milesWe need to find the value of b

Q: after walking for a while, Jack ends up twice as far east of his starting point as he is north of…

A: Jack ends up twice as far east of his starting point as he is north of his starting point.

Q: Use the Pythagorean theorem to calculate the diagonal of a TV is it's length is 40 inches and its…

A:

Q: A man walks in a northeasterly direction for 30 miles, and he ends up 5 miles east of his starting…

A: Given: A man walks in a northeasterly direction for 30 miles, and he ends up 5 miles east of his…

Q: B The side opposite the angle

A: Consider a equilateral triangle,   It has all three angles, 30°-60°-90°.

Q: In which quadrant do the following points lie? (a) (1,4) (b) (-3,2) (c) (4,-3) (d) (-4, -1)

A: Given:a 1,4b -3,2c 4,-3d-4,-1

Q: Directions: Complete this page with your te 1. 2. 9.

A: From the given graph we have to find out  rise/run=

Q: A pilot flies in a straight path for 1 h 30 min. She then makes a course correction, heading 10…

A: If you like the solution then please give it a thumbs up.. The Answer is:         Distance = 2388.56…

Q: From A a pilot flies 125 miles in the direction N 38° 20 W and turns back. Through an error, he then…

A: Let us assume A to be the origin. The pilot first flies 125 miles at an angle of 38∘20' taken from…

Q: A rowboat leaves a dock heading S24°W and travels 3.2 miles. Then the rower turns the boat to N41°W…

A: Refer the figure below illustrating the given condition. Assume O be the position of the dock. The…

Q: Use the Pythagorean theorem to calculate the diagonal of a TV is it's length is 32 inches and its…

A:

Q: A surveying team determines the height of the hill by placing a 12-foot pole at the top of the hill…

A: Consider the surveying team determines the height of the hill by placing a 12-foot pole at the top…

Q: You are building a ramp that must cover a horizontal distance of exactly 20 feet. The angle of the…

A: Horizontal distance=20 feet Angle of the ramp from the ground=8 degree

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.