Heights and Distances Questions and Answers

Two search teams spot a stranded climber between them on a
Math
Heights and Distances Solutions
Two search teams spot a stranded climber between them on a mountain. The first team is 0.6 miles from the second team, and both teams are at an altitude of 0.2 miles. The angle of elevation from the
The infield of a baseball field is a square with sides
Math
Heights and Distances Solutions
The infield of a baseball field is a square with sides measuring 90 feet. A ball thrown from third to first base is caught in 1.2 seconds. Find the speed of the ball in feet per second. Round to the
A wheelchair ramp is to be built beside the steps to the
Math
Heights and Distances Solutions
A wheelchair ramp is to be built beside the steps to the campus library. Find the angle of elevation of the 34-foot ramp, to the nearest tenth of a degree, if its final height is 5 feet.
A plane rises from take-off and flies at an angle of 15°
Math
Heights and Distances Solutions
A plane rises from take-off and flies at an angle of 15° with the horizontal runway. When it has gained 450 feet, find the distance the plane has flown. The plane has flown
An object is thrown upward at a speed of 115 feet per second
Math
Heights and Distances Solutions
An object is thrown upward at a speed of 115 feet per second by a machine from a height of 4 feet off the ground. The height h of the object after t seconds can be found using the equation h = 16t² +
Lily and William are both driving along the same highway in
Math
Heights and Distances Solutions
Lily and William are both driving along the same highway in two different cars to a stadium in a distant city. At noon, Lily is 313 miles away from the stadium and William is 334 miles away from the
A plane flew for 5 hours heading west and for 4 hours
Math
Heights and Distances Solutions
A plane flew for 5 hours heading west and for 4 hours heading south. If the total distance traveled was 3,444 miles, and the plane traveled 39 miles per hour faster heading west, at what speed was the
The New York Knicks play in Madison Square Garden, the Los
Math
Heights and Distances Solutions
The New York Knicks play in Madison Square Garden, the Los Angeles Lakers play in the Staples Center, and the Miami Heat play in American Airlines Arena. Madison Square Garden is about 2.8 x 10³ miles
The angle of elevation to a balloon is 12°. If the balloon
Math
Heights and Distances Solutions
The angle of elevation to a balloon is 12°. If the balloon is directly above a point 10 kilometers away, what is the altitude of the balloon?
The surface areas of two similar solids are 441 cm² and 225
Math
Heights and Distances Solutions
The surface areas of two similar solids are 441 cm² and 225 cm². If the approximate volume of the smaller solid is 250 cm³, what is the volume of the larger solid? A. 466 cm³ B. 932 cm³ C. 686 cm³ D.
Sumalee wants to make a 23% saline solution. She has already
Math
Heights and Distances Solutions
Sumalee wants to make a 23% saline solution. She has already poured 9 qt. of a 18% saline solution into a beaker. How many qt. of a 32% saline solution must she add to this to create the desired
Solve the problem. A building 150 feet tall casts a 60 foot
Math
Heights and Distances Solutions
Solve the problem. A building 150 feet tall casts a 60 foot long shadow. If a person looks down from the top of the building, what is the measure of the angle between the end of the shadow and the