Question

ian is trying to estimate the distance across the lake d. he knows the measures shown in the diagram. which estimate is closest to the distance d ?

Answer 1

Answer:  The estimate is closest to the distance d is 4.2 miles

Step-by-step explanation:

In the given image, we can see that there is a right triangle, in which d is the side opposite to the right angle (largest angle in the triangle) which means its the longest side of the triangle.

[Since side opposite to the larger angle is larger]

Therefore, by Pythagoras Theorem we have

$d^2=(3.6)^2+(2.2)^2\\\Rightarrow\ d^2=12.96+4.84\\\Rightarrow\ d^2=17.8\\\Rightarrow\ d=\sqrt{17.8}\\\Rightarrow\ d=4.2190\approx4.2$

The estimate is closest to the distance d is 4.2 miles.