Question

On the right triangle shown below, calculate the height of the traffic
light. Round your answer to the nearest whole number. Enter the
value without units.

Answer 1

Answer:

x = 14

Step-by-step explanation:

Tan 25 = $\frac{opposite}{adjacent}$

Where opposite = x, Adjacent = 30 m

=> 0.466 x 30 = x

=> x = 14

Answer 2

Answer:

$\Huge \boxed{\mathrm{14 \ meters}}$

Step-by-step explanation:

We can use trigonometric functions to solve for the problem.

$\displaystyle \sf tan( \theta )=\frac{opposite \ side}{adjacent \ side}$

Plug in the values and evaluate.

$\displaystyle \sf tan( 25\° )=\frac{x}{30}$

Multiply both sides by 30.

$\displaystyle \sf 30 \cdot tan( 25\° )=x$

$\sf x=13.98922974...$

The height of the traffic light is 14 meters (rounded to nearest whole number).