Question

A person 55​-ft tall casts a shadow 1111​-ftft long. At the same​ time, a nearby tree casts a shadow 3131​-ft long. Find the height of the tree.

Answer 1

Answer on Question #84527 – Math – Trigonometry

Question

A person 55-ft tall casts a shadow 1111-ftft long. At the same time, a nearby tree casts a shadow 3131-ft long. Find the height of the tree.

Solution

Find the ratio of length shadow to the height object:

$$k = 1111 / 55 \quad \longrightarrow \quad k = 20.2$$

Find the height of the tree:

$$h = 3131 / 20.2 \quad \longrightarrow \quad h = 155$$

Answer: 155-ft.

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