7.3 Practice Problems:
Use what you know about similar triangles to discover the missing dimension! Typical math rules apply: don't forget the units and show your work (either in the "show your work" spaces in each problem or by attaching a picture of your written work on paper at the end).
What is the height of the lamppost?
A flagpole 4 meters tall casts a 6-meter shadow. At the same time of day, a nearby building casts a 24-meter shadow. How tall is the building?
Five-foot-tall Melody casts an 84-inch shadow. How tall is her friend if, at the same time of day, his shadow is 1 foot shorter than hers? Round your answer to the nearest inch.
How tall is the tree?
At a certain time of day, a 6 ft man casts a 4 ft shadow. At the same time of day, how tall is a tree that casts an 18 ft shadow?
How high is the window?
HINT: Draw out the triangles and label what you know!
Find x. Assume units are in inches and round to two decimals places.
Find the length of Moon Lake.
Select the five correct lengths for the supports. You should select a total of FIVE answers!
IF YOU DID NOT use the "show your work" space in any of the above practice, upload a picture of your written pencil/paper work in this space here to share your thinking. If all of your work is in the sections above, feel free to ignore this or fill it with a random picture or drawing of your choice!