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

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

Explanation:

We can use trigonometric functions to solve for the problem.

`\displaystyle \sf tan( \theta )=(opposite \ side)/(adjacent \ side)`

Plug in the values and evaluate.

`\displaystyle \sf tan( 25\° )=(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).

Answer 2

x = 14

Explanation:

Tan 25 =
`(opposite)/(adjacent)`

Where opposite = x, Adjacent = 30 m

=> 0.466 x 30 = x

=> x = 14