Question

The radius of the base of the right circular cone shown below is $5$ inches, and the height of the cone is $7$ inches. Solving which of the following equations gives the measure, $\theta$ of the angle formed by a slant height of the cone and a radius?

• A. $\tan \theta =\frac{5}{7}$
• B. $\tan \theta =\frac{7}{5}$
• C. $\sin \theta =\frac{5}{7}$
• D. $\sin \theta =\frac{7}{5}$

Answer 1

The correct option is B $\tan \theta =\frac{7}{5}$

In right angled triangle

$tan\theta =\frac{oppositeside}{adjacentside}$

Opposite side=7 inches

Adjacent side=5 inches

$\therefore tan\theta =\frac{7}{5}$