1/7/2024

1

Draggable item		Corresponding Item
\tan(\theta)

1

Solve for all 6 trig ratios of the triangle below

\sin(\theta)=_______ 
\cos(\theta)=_______ 
\tan(\theta)=_______ 
\csc(\theta)=_______ 
\sec(\theta)=_______ 
\cot(\theta)=_______ 

1

Knowing that \tan(θ) =\frac{15}{8}, what are the other trigonometric ratios for θ?

\sin(\theta)= _______ 
\cos(\theta)= _______ 
\tan(\theta)= _______ 
\csc(\theta)= _______ 
\sec(\theta)= _______ 
\cot(\theta)= _______ 

You try

1

A fire truck has an 84 ft ladder extended against a building forming a 55° angle with the top of the truck. The truck is 8 ft tall. The firefighters are trying to reach a window that is 75 ft above the ground. Will they be able to reach the window using the ladder set at this angle?

Draggable item		Corresponding Item
\tan(\theta)		\frac{opposite}{hypotenuse}
\sin(\theta)		\frac{adjacent}{hypotenuse}
\cos(\theta)		\frac{opposite}{adjacent}
\csc(\theta)		\frac{hypotenuse}{opposite}
\sec(\theta)		\frac{hypotenuse}{adjacent}
\cot(\theta)		\frac{adjacent}{opposite}

1/7/2024

A fire truck has an 84 ft ladder extended against a building forming a 55° angle with the top of the truck. The truck is 8 ft tall. The firefighters are trying to reach a window that is 75 ft above the ground. Will they be able to reach the window using the ladder set at this angle?

Do Now- Match the trig ration with the trig function

A fire truck has an 84 ft ladder extended against a building forming a 55° angle with the top of the truck. The truck is 8 ft tall. The firefighters are trying to reach a window that is 75 ft above the ground. Will they be able to reach the window using the ladder set at this angle?