AM-2555

R-formula

A Math · Secondary 4 · Medium · R-formula

The height

d

of a point above the ground is given by

d = 6\cos\theta + 8\sin\theta

. Express

d

in the form

R\cos(\theta-\alpha)

, where

R>0

and

0^\circ<\alpha<90^\circ

. What is

R

?

$10$
$\sqrt{28}$
$\sqrt{14}$
$\sqrt{36+8}$

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