Question

After covering a distance of $10$ meters from the flagpole, Mike lies on the ground, and measures an angle of ${70}^o$ from the ground to the base of the ball at the top of the flagpole. Find the approximate height of the flagpole from the ground to the base of the ball at the top of the flagpole.

• A. $3m$
• B. $9m$
• C. $27m$
• D. $29m$

Answer 1

Answer: (C)

$27m$

A triangle gets formed as seen in the figure.

We can write $tan\left({70}^o\right)=\frac{x}{10}$ where $x$ is the height of the flagpole from the ground to the base of the ball at the top of the flagpole.

$\therefore 2.747=\frac{x}{10}$

$\therefore x=27.47$ m $\approx 27$ m