Question

triangles distance and the pythagorean theorem
key
a. white house
b. washington monument
c. natural history museum
d. smithsonian
e. national portrait gallery
f. national gallery of art
find the length between landmark a and landmark e.

Explanation:

Step1: Count the horizontal and vertical units

Count the horizontal units \( a = 6 \) and vertical units \( b = 4 \) between \( A \) and \( E \).

Step2: Apply the Pythagorean theorem

The Pythagorean theorem is \( c=\sqrt{a^{2}+b^{2}} \). Substitute \( a = 6 \) and \( b = 4 \):

$$
LATEXBLOCK0
$$

Step3: Multiply by the scale factor

Assume each grid unit is 100 meters (from the scale). So the actual distance \( d=7.21\times100 = 721 \) meters.

Answer:

The length between landmark \( A \) and landmark \( E \) is approximately \( 721 \) meters.