21. To find out how wide a river is, Jon and Sally mark an X at the spot directly across from a big rock on the other side of the river. Then they walk in a straight line along the river, perpendicular to the straight line between the X and the rock. After walking for 20 feet Jon stops while Sally continues along the straight line for another 10 feet. Then she makes a 90 degree turn and walks for 30 feet. When she stops and looks at the rock she sees that the straight line from her to the rock passes through Jon. What is the distance from X to the rock? distance X Rock 20 ft Jon 10 ft Тurn 30 f »» Sally а. 63 feet с. 50 feet b. 60 feet d. 30 feet

Q: A woodcutter determine the height of tall tree by measuring a smaller one 125 ft away,then moving so…

A: First draw a diagram that describe this scenario. Let FG be the length of the tall tree. Let DE be…

Q: Kayla wants to determine whether point B is closer to point A or point C. She knows she cannot just…

A: We take these three points in XY plane, then let coordinates be A(a,b), B(c,d), C(e,f).

Q: you are flying a kite on a line that is 350 feet long. Let's suppose the line is perfectly straight…

A: Given Kite on a line , L=350 ftangle , θ=65° with horizontal .

Q: An observer standing on the southern bank of a river sees a tree that is much more than 100 feet…

A:

Q: What would be the measure of angles used after Brad rotates the shelf 180 degrees counterclockwise…

A: What would be the measure of angles used after B rad rotates the shelf 180 degreescounter clockwise…

Q: A fisherman is 7 miles west and 3 miles north of the marina. To head directly back to the marina,…

A: using pythagorous theoremAM2=AB2+BM2

Q: An airplane needs to head due north, but there is a wind blowing from the northwest at 60 km/hr. The…

A: The given details: The wind blowing from northwest at 60km/hr. The plane flies at an airspeed of…

Q: Two angles form a linear pair. One angle measures 2x and the other angle measures 10r. Find the…

A: Given, Two angles one measures 2x and the other measures 10x form a linear pair of angles. To find…

Q: A plane is flying with an airspeed of 160 mph and heading of 150º. The wind currents are running at…

A: Given Information -  Airspeed of the plane = 160 mph Heading of the plane = 150º Speed of wind = 35…

Q: Four adjacent angles are on a line. The measurements of the four angles are four consecutive even…

A: The four angles are consecutive even numbers. Then, let the angles are: 2n,2n+2,2n+4,2n+6 The angles…

Q: solve triangle a = 20 , B = 3 a / 4,c = 15 < A = ? ° side a = 20 inches < B = 3 ¤ / 4 side b = ?…

A: The law of sines for a triangle is given as, sin∠Aa=sin∠Bb=sin∠Cc

Q: The second angle of a triangle is four times the first and the third is 5 degrees more than twice…

A:

Q: OOOO 17.Andy wants to find the distance across a river. In order to find the distance CD, Andy…

A:

Q: Start with point A (-5, -1). Translate it 5 units to the left and 2 units up. Follow this with a…

A:

Q: two observers simultaneously measure the angle of elevation of the helicopter. one angle is 25…

A: ok

Q: If you walk 32 feet north and then 66 feet east, how far, in a straight line, will you be from your…

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.