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A man is walking along a straight road. If the height of the tower is h=40 m, then what is the distance in meters of the man from the tower?
Two men on opposite sides of a TV tower of height 26 m notice the angle of elevation of the top of this tower to be 45 deg and 60 deg respectively. Find the distance in meters between the two men
As seen from the top of the first tower, the angle of depression of the second tower's base is 60 deg and that of the top is 30 deg. What is the height in meters of the second tower?
The angle of depression to the top of the mast and the base of the ship equal 30 deg and 45 deg respectively. How far is the ship fromt he lighthouse in meters?
Two men on the same side of a tall building notice the angle of elevation to the top of the building to be 30 deg and 60 deg respectively.
He then turns 90° and walks 3.4 miles in the direction N 55° W. At that time, how far is he from his starting point, and what is his bearing from his starting point?
At the point of 210 m down street, the top of the bilding has an angle of elevation of 15 degree. How tall is the building?
Find the angle of the take-off (relative to the horizontal), and the magnitude of his take-off velocity. Without air resistance, how high and how long can he jump?
Suppose Bob bought an SUV that originally had tires with a iameter of 26 inches. If Bob's speedometer reads 85 mph, what is Bob's actual speed?
A naval cruiser on maneuvers travels 54.0 km at 18.7 degrees west of north, then turns and travels 64.5 km at 15.6 south of east. Find its displacement from its original position.
At the point where there are 36.0 ft of rope out, what force tends to bring the boat toward the wharf, and what force tends to raise the boat.
A plot of land is a trapezoid whose bases have lengths 80m and 110m, and whose height is 50m. if a bag of seeds covers 50 square meters, how many bags are needed to cover this plot of land?
A goat is tethered at the vertex on the outside of a monument in the shape of a regular hexagon with sides of length 30 feet. If the goat is tied by a 30 feet chain, how much area can he graze?
In triangle ABC, the measure of angle ABC= 51 degrees and the altitude AH is congruent to median BM. What is the measure of angle MBC?
The area of a rectangle equals the length X width. The equation for the area of a rectangle with a length of 12 is A=12w . Write an ordered pair that is the solution to this equation. Show work. The
Its radius is multiplied by a factor of 4/5 (four over five). What is the new lateral surface area?
Geometry An equilateral triangle is one in which all three sides are of equal length. If two vertices of an equilateral triangle are (0, 4) and (0, 0), find the third vertex. How many of these trian
Find the equation of a line that is perpendicular to -4x + 3y = 47 and contains the point (-5, -9). Please show all of your work and write your answer in slope-intercept form.
How many gallons of water will a rectangular tank hold if the base is a square that is 8 feet 10 inches on one side and the tank is 10 feet 3 inches high?
What is the area of each triangle in a square pyramid if the length of each side of the square base is 6 cm and the total surface area is 132cm squared.
Alex is building a ramp for a bike competition. He has two rectangular boards. One board is six meters and the other is five meters long. If the ramp has to form a right triangle, and the hypotenuse
Triangle ABC with three sides, AC = 13ft, CB=20ft, and AB = ?. The height of the triangle is drawn between vertex C and the side AB, and is perpendicular to side AB. The height is 12ft. Find the len
The perimeter of a rectangle is 150m. The length is 6 m morethan twice the width find the dimensions. What is the length? What is the Width?
If the earth were scaled down to a 1m diameter globe, what would be the depth of the ocean (in mm)? How thick would the biosphere be (in mm)?
Write an equation in slope-intercept form for the line that is perpendicular to the graph of 3x + 2y = 8 and passes through the y-intercept of that line.