Answered

Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Get detailed and accurate answers to your questions from a community of experts on our comprehensive Q&A platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

The figure shows a person estimating the height of a tree by looking at thetop of the tree with a mirror. Assuming that both the person and the tree formright angles with the ground, which of the following proportions can be usedto estimate the height of the tree?6 ft3 ft7 fthft

The Figure Shows A Person Estimating The Height Of A Tree By Looking At Thetop Of The Tree With A Mirror Assuming That Both The Person And The Tree Formright An class=

Sagot :

SOLUTIONS

Using the rule of SOHCAHTOA:

The height of the tree compared to the height of the boy is tangent:

[tex]tan\theta=\frac{opp}{adj}[/tex]

For the small triangle:

[tex]tan\theta=\frac{6}{3}.........(1)[/tex]

For the Big triangle:

[tex]tan\theta=\frac{h}{7}..........(11)[/tex]

Equating (1) and (11

[tex]\begin{gathered} \frac{6}{3}=\frac{h}{7} \\ \frac{6}{h}=\frac{3}{7} \end{gathered}[/tex]

Hence the correct answer = Option A

View image ManleyA135715
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.