Questions: Question Id: 2013216 3 of 10 02:24 triangle ADC is similar to triangle DEF is similar to triangle GPI Note: Images are not drawn to scale. Place each trigonometric ratio under its value. 3/5 3/4 4/5 tan I sin B cos B cos I cos H tan C sin I sin H

Question Id: 2013216
3 of 10
02:24
triangle ADC is similar to triangle DEF is similar to triangle GPI
Note: Images are not drawn to scale.

Place each trigonometric ratio under its value.

3/5
3/4
4/5
tan I
sin B
cos B
cos I
cos H
tan C
sin I
sin H

Transcript text: Iestion Id : 2013216 3 of 10 02:24 $\triangle A D C \sim \triangle D E F \sim \triangle G \Pi I$ Note: Images are not drawn to scale. Place each trigonometric ratio under its value. \[ \frac{3}{5} \] $\frac{3}{4}$ $\frac{4}{5}$ $\tan I$ $\sin B$ $\cos B$ $\cos I$ $\cos H$ $\tan C$ $\sin I$ $\sin H$

Solution

Solution Steps

Step 1: Identify the trigonometric ratios for each angle

For triangle ABC:
- $ \sin B = \frac{\text{opposite}}{\text{hypotenuse}} = \frac{90}{150} = \frac{3}{5} $
- $ \cos B = \frac{\text{adjacent}}{\text{hypotenuse}} = \frac{120}{150} = \frac{4}{5} $
- $ \tan C = \frac{\text{opposite}}{\text{adjacent}} = \frac{90}{120} = \frac{3}{4} $

Step 2: Match the trigonometric ratios to their values