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murzikaleks [220]
3 years ago
7

The components of vector are ax and ay (both positive), and the angle that it makes with respect to the positive x axis is θ. Fi

nd the angle θ if the components of the displacement vector are (a) ax = 12 m and ay = 12 m, (b) ax = 20 m and ay = 12 m, and (c) ax = 12 m and ay = 20 m.
Mathematics
1 answer:
Andru [333]3 years ago
6 0

we can use formula

\theta=tan^{-1}(\frac{a_y}{a_x})

(a)

we are given

a_x=12,a_y=12

now, we can plug values

\theta=tan^{-1}(\frac{12}{12})

\theta=tan^{-1}(1)

\theta=\frac{\pi}{4}rad

(b)

we are given

a_x=20,a_y=12

now, we can plug values

\theta=tan^{-1}(\frac{12}{20})

\theta=tan^{-1}(\frac{3}{5})

\theta=30.96^{\circ \:}

(c)

we are given

a_x=12,a_y=20

now, we can plug values

\theta=tan^{-1}(\frac{20}{12})

\theta=tan^{-1}(\frac{5}{3})

\theta=59.03^{\circ \:}


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