Please help fast if you can

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

otez555 [7]

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.

$\displaystyle tan(60^{\circ}) = \mathbf{\frac{Width \ of \ stream}{Distance \ between \ stakes}}$

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:

brainly.com/question/13276558

3 0

2 years ago

Paige made $1411.75 last year by investing a total of $15,250 in two accounts: one paying 8.5% annual interest and the other pay

Umnica [9.8K]

Lets x and y are 2 accounts Paige invested
x account invested with annual interest rate 8.5%
y account invested with annual interest rate 10%

x + y =15,250 so x = 15,250 - y
0.085x + 0.1y = 1,411.75

substitute x = 15,250 - y into 0.085x + 0.1y = 1,411.75

0.085x + 0.1y = 1411.75
0.085(15,250 - y) + 0.1y = 1,411.75
1,296.25 - 0.085y + 0.1y = 1,411.75
0.015y = 115.5
y = 7,700

x = 15,250 - y
x = x = 15,250 - 7,700
x = 7,550

answer

$7,550 invested on account with annual interest rate 8.5%
$7,700 invested on account with annual interest rate 10%

8 0

3 years ago

In the equation -2(2-r)=4(5-r) what is r?

valina [46]

$-2(2-r)=4(5-r)\\
-4+2r=20-4r\\
6r=24\\
r=4$

8 0

3 years ago

What type of relationship has a graph that is a line ?

evablogger [386]

Answer:

The formal term to describe a straight line graph is linear, whether or not it goes through the origin, and the relationship between the two variables is called a linear relationship. Similarly, the relationship shown by a curved graph is called non-linear.

Step-by-step explanation:

5 0

3 years ago

Write the solution to the given inequality in interval notation.

Mazyrski [523]

Answer:

$(-\infty,4)\cup (5,\infty)$

Step-by-step explanation:

From the number line, the solution to the inequality is x<4 or x>5.

We can write x<4 in interval notation as (-∞,4) and x>5 as (5,∞).

The "or" represents the union of the two intervals.

Therefore the solution to the given inequality in interval notation is:

$(-\infty,4)\cup (5,\infty)$

The third choice is the correct answer.

3 0

3 years ago