Answer:
Step 3
Step-by-step explanation:
The solution is given in the image attached. The steps are:
Step 1:
Step 2: simplifying the coefficients of x:
Step 3: Adding 1/4 to both sides
Step 4: Multiplying both sides by 5/7
The addition property of equality states that if a number is added to both sides of an equation, the equation is still valid (i.e the equation is still the same). From the steps above, The addition property of equality was applied in step 3
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;
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.
<em>The possible question options are;</em>
<em>John measures the the distance between the two stakes</em>
<em>John uses a compass to walk away from the stakes at a right angle</em>
<em>John multiplies the distance between the two stakes by 1.7 to find the distance</em>
<em>John drives a second stake in the ground</em>
<em>On the path John walks until he finds a line of sight to the tree that equals 60 degrees </em>
<em>John drives a stake opposite the tree to establish a line between two points.</em>
Learn more about trigonometric ratios here:
