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The pilot of a helicopter at an altitude of 1 50m spots a horizontal bridge straight ahead. The bridge lies parallel to the course of the helicopter.
Prove the identity: cos3? ? 4cos^3?- 3cos?. Prove the identity: cos3? - cos7? ÷ sin7? + sin3? ? tan2?.
A chain hangs in a shape called a catenary, the equation of which is f(x) = a cosh (x / a).Determine the value of x when f(x) = 48 and a = 35.
Solve the following, giving all positive values of the angle between 0° and 360° to the nearest minute only.
What would you use the Pythagorean Theorem for? List one example either from work or personal life or any other application.
There are more than 50 ways to prove the Pythagorean theorem. Using the Library, web resources, and other course materials, choose a proof.
The model for the height of a tidal wave for a 24 hour period is given by H(t) = 1.25 + 0.85 cos 0.498(t - 1) where H(t) is the height of the tide.
A mass is supported by a spring so that it is at rest 0.5 m above a tabletop. The mass is pulled down 0.4 m and released at time t = 0.
To determine the distance to an oil platform in the Pacific Ocean from both ends of a beach, a surveyor measurers the angle to the platform.
An isosceles triangle in which each of the equal sides is 14.72 in. and the vertex angle 47° 28' .
Use logarithms and the law of tangents to solve the triangle ABC, given that a=21.46 ft, b=46.28 ft, and C=32° 28' 30"
Find at least five more in addition to 3, 4 , 5 12, and 13, and show why your 5 sets of Pythagorean Triples work in the Pythagorean Theorem formula.
Anne is pulling on a 60 foot rope attached to the top of a 48-foot tree while Walter is cutting the tree at its base.
Find the length of the shortest rope that can reach from the top of the one pole to a point on the ground between them and then to the top of the other pole.
A diagonal is drawn in a 12-in, square floor tile. Find the sine, cosine, and tangent of the angle formed by the diagonal and a side.
Draw the oblique triangle, classify each oblique triangle according to the four cases and solve for the required side or angle.
Between two rifles 500 feet apart, the angles formed with a target are 71° 46' and 83° 21'. Find the range of the target from each rifle.
If the speed of the plane is 615 miles per hour, find the rate at which the angle of observation, theta, changing by at the moment when the angle is 21 degrees.
Two forces P and Q are applied as shown at point A of a hook suport. Knowing that P=75 N and Q = 125 N.
Prove that two Pythagorean Triangles with the same area and equal hypotenuses are congruent.
If a^2 + (a+1)^2 = c^2, let u=c-a-1 and v=(2a+1-c)/2. Show that v is an integer and that u(u+1)/2 = v^2.
Select at least 5 more Pythagorean Triples. Show why your 5 sets of Pythagorean triples work in the Pythagorean Formula.
Explain how to derive the formula for the distance between two points in analytic geometry in 3-space.
Given that x = 3sin theta and y = 4cos theta,express x + y in the form R sin (theta + alpha) giving alpha in radians correct to 4 decimal places.
The examples you find should be different from each other in the sense that one should not be a multiple of another.