Answered

Discover the answers you need at Westonci.ca, a dynamic Q&A platform where knowledge is shared freely by a community of experts. Explore thousands of questions and answers from a knowledgeable community of experts on our user-friendly platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

John wants to measure the width of a stream using the methods he has learned in geometry. He puts a stake in the ground opposite a big tree. The steps John would use to find the measure he wants are given below in random order. Put the number next to the following statements to indicate the proper sequence John would use to find the measure he wants.

SHOW TRANSCRIPT
The steps John would use to measure the width of the stream are given below in random order. Put the number next to the following statements to indicate the proper sequence John would use to find the measure he wants.

Sagot :

John's method to determine the width of the stream uses the knowledge

that the tangent of 60° is approximately 1.7.

The proper sequence John would use to find the width of the stream are;

  • Step 1; John drives a stake opposite the tree to establish a line between two points

  • Step 2; John uses a compass to walk away from the stakes at a right angle

  • Step 3; On the path John walks until he finds a line of sight to the tree that equals 60 degrees

  • Step 4; John drives a second stake in the ground

  • Step 5; John measures the the distance between the two stakes

  • Step 6; John multiplies the distance between the two stakes by 1.7 to find the distance.

Reasons:

The steps that can be used to measure the width of the stream are;

Step 1: Drive a stake opposite the tree on the other side of the stream.

Step 2: With the aid of a compass, walk at right angles to the line formed by the stake and the tree.

Step 3; Keep walking along the previous path till a point is reached where the angle formed between the line of site to the tree and the walk path is 60°.

Step 4; At the point where the line of sight to the tree is 60°, a second stake is driven in the ground.

Step 5; Measure the distance between the stakes that are placed in the ground.

Step 6; Given that by trigonometry, the ratio of the width of the stream to the distance between the two stakes is tan(60°) ≈ 1.7, multiply the distance between the two stakes by 1.7 to find the width of the stream.

[tex]\displaystyle tan(60^{\circ}) = \mathbf{\frac{Width \ of \ stream}{Distance \ between \ stakes}}[/tex]

The possible question options are;

John measures the the distance between the two stakes

John uses a compass to walk away from the stakes at a right angle

John multiplies the distance between the two stakes by 1.7 to find the distance

John drives a second stake in the ground

On the path John walks until he finds a line of sight to the tree that equals 60 degrees

John drives a stake opposite the tree to establish a line between two points.

Learn more about trigonometric ratios here:

https://brainly.com/question/13276558

View image oeerivona
Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.