A tree shadow is 95 cm long. At the same time of the day Samantha stands next to the tree in measures her shadow to be 30 cm long. Samantha is 150 cm tall. What is the height of tree in centimeters

The height of tree is 475cm.Step-by-step explanation:Given, Shadow of Samantha = 30cmActual height of Samantha = 150cmRatio of Shadow to actual height of Samantha = 30:150Shadow of tree = 95cmActual height of tree = xRatio of shadow to actual height of tree = 95:xUsing proportion,Ratio of Shadow to actual height of Samantha :: Ratio of shadow to actual height of tree[tex]30:150::95:x\\[/tex]Product of mean = Product of extreme[tex]150*95=30*x\\14250=30x\\30x=14250\\[/tex]Dividing both sides by 30;[tex]\frac{30x}{30}={14250}{30}\\x=475\\[/tex]The height of tree is 475cm.Keywords: ratio, proportionLearn more about ratios at:brainly.com/question/3414323brainly.com/question/3451297#LearnwithBrainly