In a right-angled triangle

MATHEMATICS · Single correct · A Level · Mathematics · Trigonometry · Trigonometry

Problem

In a right-angled triangle, the ratio of the length of the side opposite an acute angle to the hypotenuse is

\tfrac{1}{\sqrt{2}}

. What is the measure of this acute angle? (a)

35^{\circ}

(b)

60^{\circ}

(c)

45^{\circ}

(d)

30^{\circ}