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If cos(x) = -(5/13) and π/2 ≤ x ≤ π, find the value of sin(x) and tan(x).
On a walking holiday you travel from the start, 𝑆, 5km on a bearing of 60° to point 𝑃. Then you change direction and walk for 5km on a bearing of 300° arriving at the finish 𝐹. What is your distance and bearing now from the start? Draw a diagram as part of your answer.
A wheel that is drawn by a belt is making 1revolution per second (r/s). If the wheel is 18cm in diameter, what is the linear velocity of the belt in cm/s?
A bicycle with 20 inch wheels is travelling down a road at 15mi/h. Find the angular velocity of the wheel in revolutions per minute.
sin(theta+pi/6)+cos(theta+pi/3)=cos theta
A 6.7m totem pole is being erected on Vancouver Island. The carvers know that the tethers holding the pole in place need to meet the ground at an angle of 39° for maximum stability. Albert states that they should use the cosine ratio to determine how the long the tethers should be. Stanley argues that they should use the sine ratio.
Find the value of the x. Y is 30 degrees and side is 14
The L and C State Building is 1, 250 m tall. What is the angle of elevation of
the top from a point on the ground 1,760 m from the base of the building?
Nick runs around the perimeter of a circular track at 11 ft/sec. The track has a radius of 99 yd. After 30 seconds, Nick turns and runs to the center of the track along a straight (radial) line. Upon reaching the center, he turns and runs away along a different radial line to his starting position on the perimeter.
How far has Nick traveled once he has returned to his starting position?
distance = feet
Ali is building a theater in the man-cave in his new house. He cannot recall the exact dimensions, but he knows that the length is 4 feet longer than the width, and the area is 525 square feet. Help Ali and the contractor solve for the length and width of his theater. Show all of your work and explain your answer.
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