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You are skiing down a mountain with a vertical height of 1250 feet. The distance from the top of the mountain to the base is 2500 feet. What is the angle of elevation from the base to the top of the mountain?

Precalculus with Limits

Trigonometry

Right Triangle Trigonometry

Let $\theta$ be an angle in standard position with $(x, y)$ a point on the terminal side of $\theta$ and $r=\sqrt{x^{2}+y^{2}} \neq 0.$ $\sin \theta=$ ________

Precalculus

Trigonometry

Trigonometric Functions of Any Angle

Use a calculator to evaluate the trigonometric function. Round your answer to four decimal places. (Be sure the calculator is in the correct mode.) $$\tan 4.5$$

Precalculus

Trigonometry

Trigonometric Functions of Any Angle

Use a calculator to evaluate the trigonometric function. Round your answer to four decimal places. (Be sure the calculator is in the correct mode.) $$\cos \left(-110^{\circ}\right)$$

Precalculus

Trigonometry

Trigonometric Functions of Any Angle

Questions asked

ANSWERED

Ma. Theresa Alin verified

Numerade educator

Find the projection of ( mathbf{u} ) onto ( mathbf{v} ). [ egin{array}{r} mathbf{u}=langle-4,-3 angle \ mathbf{v}=langle-7,-1 angle \ operatorname{proj}_{mathbf{v}} mathbf{u}=square end{array} ] Write ( mathbf{u} ) as the sum of two orthogonal vectors, one of which is ( operatorname{proj}_{mathbf{v}} mathbf{u} ). [ mathbf{u}=operatorname{proj}_{mathbf{v}} mathbf{u}+square ]

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Jonathon Brumley verified

Numerade educator

Three forces with magnitudes of 65 pounds, 95 pounds, and 130 pounds act on an object at angles of 30°, 45°, and 120°, respectively, with the x-axis. Find the direction and magnitude of the resultant of these forces. (Round your answers to one decimal place.) magnitude lb direction °

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Ivan Kochetkov verified

Numerade educator

Find the component form of ( mathbf{v} ) given its magnitude and the angle it makes with the positive ( x )-axis. magnitude angle [ |mathbf{v}|=frac{7}{3} quad heta=150^{circ} ] Sketch ( mathbf{v} ).

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Zhumagali Shomanov verified

Numerade educator

Find the component form and the magnitude of the vector v. initial point (-3, 8) terminal point (4, -16) component form v = magnitude ||v|| =

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ANSWERED

Sheryl Ezze verified

Numerade educator

A flagpole at a right angle to the horizontal is located on a slope that makes an angle of 11° with the horizontal. The flagpole's shadow is 16 meters long and points directly up the slope. The angle of elevation from the tip of the shadow to the sun is 22°. (a) Draw a diagram that represents the problem. Show the known quantities on the diagram and let h indicate the height of the flagpole. (b) Write an equation that you can use to find the height of the flagpole h. h / sin( _ °) = 16 / sin( _ °) (c) Find the height of the flagpole (in m). (Round your answer to one decimal place) _ m

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Find all solutions of the equation in the interval \( [0,2 \pi) \). (Enter your answers as a comma-separated list.) \[ \begin{array}{r} \sin \left(x+\frac{\pi}{6}\right)-\sin \left(x-\frac{7 \pi}{6}\right)=\frac{\sqrt{3}}{2} \\ x=\square \end{array} \]

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ANSWERED

Samuel Mister verified

Numerade educator

Find the exact value of the trigonometric expression given that ( sin (u)=-frac{3}{5} ), where ( 3 pi / 2<u<2 pi ), and ( cos (v)=frac{15}{17} ), where ( 0<v<pi / 2 ). ( sec (v-u) )

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Ariana Nash verified

Numerade educator

Solve the multiple-angle equation. (Enter your answers as a comma-separated list. Use n as an arbitrary integer. Enter your response in radians.) tan(x/8) + sqrt(3) = 0 x =

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ANSWERED

Sheryl Ezze verified

Numerade educator

Find all solutions of the equation in the interval [0, 2?). (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.) 10 sec^2 x + 5 tan^2 x - 15 = 0 x =

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Donna Densmore verified

Numerade educator

Verify the identity by converting the left side into sines and cosines. (Simplify at each step.) frac{cot^{2}(t)}{7 csc(t)} = frac{1 - sin^{2}(t)}{7 sin(t)} frac{cot^{2}(t)}{7 csc(t)} = frac{cos^{2}(t) / (square)}{7 / sin(t)} = frac{cos^{2}(t)}{square} = frac{1 - sin^{2}(t)}{7 sin(t)}

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