Question

You stand 1.40 m in front of a wall and gaze downward at a small vertical mirror mounted on it. In this mirror you can see the reflection of your shoes. If your eyes are 1.70 m above your feet, through what angle should the mirror be tilted for you to see your eyes reflected in the mirror? (The location of the mirror remains the same, only its angle to the vertical is changed.)

Answer 1

Answer:

The angle is 31.26°.

Explanation:

Given that,

Distance = 1.40 m

Height = 1.70 m

We need to calculate the angle

Using formula of angle

$tan\theta=\dfrac{y}{d}$

Here, $y = \dfrac{h}{2}$

$y=\dfrac{1.70}{2}=0.85\ m$

Put the value into the formula

$\tan\theta =\dfrac{0.85}{1.40}$

$\theta=\tan^{-1}0.6071$

$\theta=31.26^{\circ}$

Hence, The angle is 31.26°.