Question

A butterfly flies from the top of a tree in the center of a garden to rest on top of a red flower at the garden's edge. The tree is 9.0 m taller than the flower, and the garden is 17 m wide.
Determine the magnitude of the butterfly's displacement.

Express your answer using two significant figures.

Answer 1

Answer:

R=12 m

Explanation:

I have drawn a vector form which I attached here.Please first go through that

Given Data

y (Tree Taller) = 9.0 m

x(Distance from center to edge is)= 8.5 m

To find

R(magnitude of the butterfly's displacement

)

Solution

$R=\sqrt{x^{2} +y^{2} }\\R=\sqrt{9^{2}+8.5^{2} }\\ R=12.379m$

Convert to two significant figures

R=12 m

Answer 2

The butterfly takes a vertical perpendicular path equivalent to 9m and travels a horizontal distance of 17m. The net path between the two is equivalent to that of the hypotenuse, so we will apply the Pythagorean theorem.

$x=\sqrt{(9)^2+(0.17)^2}$

$x = 9.0061 \approx 9.0 m$

Therefore the magnitude of the butterfly's displacement is 9m