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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.

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 class=

Respuesta :

ujalakhan18

Answer:

x = 14

Step-by-step explanation:

Tan 25 = [tex]\frac{opposite}{adjacent}[/tex]

Where opposite = x, Adjacent = 30 m

=> 0.466 x 30 = x

=> x = 14

09pqr4sT

Answer:

[tex]\Huge \boxed{\mathrm{14 \ meters}}[/tex]

Step-by-step explanation:

We can use trigonometric functions to solve for the problem.

[tex]\displaystyle \sf tan( \theta )=\frac{opposite \ side}{adjacent \ side}[/tex]

Plug in the values and evaluate.

[tex]\displaystyle \sf tan( 25\° )=\frac{x}{30}[/tex]

Multiply both sides by 30.

[tex]\displaystyle \sf 30 \cdot tan( 25\° )=x[/tex]

[tex]\sf x=13.98922974...[/tex]

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

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