Question Video: Writing and Solving Proportion Equations in Word Problems | Nagwa Question Video: Writing and Solving Proportion Equations in Word Problems | Nagwa

Question Video: Writing and Solving Proportion Equations in Word Problems Mathematics

A 19.4 meters high building casts a shadow which is 8.8 meters long at a certain time of day. How tall is a nearby tree which casts a 4.4 meters long shadow at the same time?

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Video Transcript

A 19.4 meters high building casts a shadow which is 8.8 meters long at a certain time of day. How tall is a nearby tree which casts a 4.4 meters long shadow at the same time?

We are told in the question that a building of height 19.4 meters casts a shadow of 8.8 meters. We need to calculate the height of a nearby tree that casts a shadow of 4.4 meters. Since this takes place at the same time of day, we can assume that these measurements are in the same proportion to one another. 4.4 meters is a half of 8.8 meters. Therefore, 8.8 divided by two is equal to 4.4.

To calculate the height of the tree, we need to divide 19.4 meters by two. One way of doing this is using the short division bus stop method. 19 divided by two is equal to nine remainder one. We need to carry the one to the tenths column. 14 divided by two is equal to seven. And keeping our decimal point in the same place, 19.4 divided by two is 9.7.

We can, therefore, conclude that the height of the tree is 9.7 meters.

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