Question of the Day

Can you answer today's question?

Register Next Tests:
6/6

http://sat.collegeboard.org/practice/sat-question-of-the-day
May
28
Question of the Day Statistics
Number Answered
Correct 16,308
Incorrect 16,536
32,844 responses
49% correct
See Last Thirty Questions:

Mathematics > Standard Multiple Choice

Read the following SAT test question and then click on a button to select your answer. 

Miguel is 180 centimeters tall. At 2:00 p.m. one day, his shadow is 60 centimeters long, and the shadow of a nearby fence post is t centimeters long. In terms of t, what is the height, in centimeters, of the fence post?

Answer Choices

Correct!

Explanation

The situation described in the question can be pictured as in the figure below, where x is the height, in centimeters, of the fence post.

Math Graphic

There are two right triangles in the figure. One triangle is formed by part of the line from the sun to point P, the perpendicular from Miguel’s head to the ground, and Miguel’s shadow along the ground. The other triangle is formed by part of the line from the sun to point P, the perpendicular from the top of the fence post to the ground, and the fence post’s shadow along the ground. Since these two right triangles share the acute angle at P, they are similar triangles. Since the corresponding sides of similar triangles are in proportion, it follows that180 over x = 60 over t. Solving this equation for x, the height, in centimeters, of the fence post, yields x = 3 times t.

Log in, track your progress and review questions.
Want to brush up on your skills? Just visit our Practice Questions area.

Buy Together, Get $10 Off

Buy Together & Get $10 Off
Study Guide
Online Course

The online course includes explanations and auto essay scoring for the Study Guide's 10 practice tests.

The Official Study Guide for All SAT Subject Tests™: 
Second Edition

Subject Test Study Guide

Get ready for test day with a brand new edition of our best-selling SAT Subject Test Study Guide! Brought to you by the test-maker, this is the ONLY study guide with actual, previously administered tests for all 20 SAT Subjects Tests™ to provide you with the real test-taking experience.

See Inside