SAT question 3563d76d (Lines, Angles, and Triangles)

Question

At a certain time and day, the Washington Monument in Washington, DC, casts a shadow that is $300$ feet long. At the same time, a nearby cherry tree casts a shadow that is $16$ feet long. Given that the Washington Monument is approximately $555$ feet tall, which of the following is closest to the height, in feet, of the cherry tree?

19

Difficulty:Easy

A

$10$

B

$20$

C

$30$

D

$35$

College Board · Accepted Answer

The correct answer is C. Choice C is correct. There is a proportional relationship between the height of an object and the length of its shadow. Let c represent the height, in feet, of the cherry tree. The given relationship can be expressed by the proportion (555)/(300) = c/(16) . Multiplying both sides of this equation by 16 yields c = 29.6 . This height is closest to the value given in choice C, 30 .

CookSAT · Answer

Note: The regression fits the cherry tree's height as 29.6 feet, so choose the closest value.

Explanation

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Why the other choices are wrong

SAT Question 3563d76d: Lines, Angles, and Triangles answer and explanation with Desmos solution

Explanation

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Why the other choices are wrong