Solution 4.2:1d
From Förberedande kurs i matematik 1
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- | + | The side marked ''x'' is the hypotenuse in the right-angled triangle and the side of length 16 is the adjacent to the angle of 20°. | |
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- | {{ | + | [[Image:4_2_1_d.gif|center]] |
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+ | By writing the quotient for <math>\cos 20^{\circ}</math>, we obtain the relation | ||
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+ | {{Displayed math||<math>\cos 20^{\circ} = \frac{16}{x}</math>}} | ||
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+ | and this gives | ||
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+ | {{Displayed math||<math>x = \frac{16}{\cos20^{\circ}}\quad ({}\approx 17\textrm{.}0)\,\textrm{.}</math>}} |
Current revision
The side marked x is the hypotenuse in the right-angled triangle and the side of length 16 is the adjacent to the angle of 20°.
By writing the quotient for \displaystyle \cos 20^{\circ}, we obtain the relation
\displaystyle \cos 20^{\circ} = \frac{16}{x} |
and this gives
\displaystyle x = \frac{16}{\cos20^{\circ}}\quad ({}\approx 17\textrm{.}0)\,\textrm{.} |