PLZ HELP ME PLS HELP ME

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

3 years ago

Ac=20 bc=2x+12 ab=2x+8find x

sergij07 [2.7K]

20 + 2x + 12 + 2x + 8
40 + 4x

4 0

3 years ago

Read 2 more answers

To the nearest tenth, what is the distance between the points (1, –2, 5) and (0, 7, –4)?

Eduardwww [97]

Answer:

The distance is $12.8\ units$

Step-by-step explanation:

we know that

The formula to calculate the distance between two points is equal to

$d=\sqrt{(x2-x1)^{2}+(y2-y1)^{2}+(z2-z1)^{2}}$

we have

$A(1,-2,5)\\B(0,7,-4)$

substitute the values

$d=\sqrt{(0-1)^{2}+(7+2)^{2}+(-4-5)^{2}}$

$d=\sqrt{(-1)^{2}+(9)^{2}+(-9)^{2}}$

$d=\sqrt{1+81+81}$

$d=\sqrt{163}\ units$

$d=12.8\ units$

8 0

3 years ago

Rich makes $12.50 an hour. If Rich works 56 hours in one week, how much would he earn for the week

ICE Princess25 [194]

$700 is your answer.

5 0

3 years ago

Read 2 more answers

To the nearest whole percent, what is the probability that a randomly chosen member of the JV swim team does not wear glasses an

Yuri [45]

Answer: 14%

Step-by-step explanation:

Complete question is provided in the attachment below:

Probability that members of the junior varsity swim team wear glasses = 55%=0.55

Given: P(wear glasses) = 0.55

P(not wear glasses) = 1-0.55 = 0.45

P(member in 10th grade | not wear glasses) = 30%

Using conditional probability formula:

$P(B|A)=\dfrac{P(A\text{ and } B)}{P(A)}$

$\Rightarrow\ 0.30=\dfrac{P(\text{not wear glasses and in 10th grade})}{0.45}\\\\\Rightarrow\ P(\text{not wear glasses and in 10th grade})=0.45\times0.30\\\\0.135=13.5\%\approx14\%$

Hence, the probability that a randomly chosen member of the JV swim team does not wear glasses and is in the 10th grade = 14%.

So, the correct option is "14%".

4 0

3 years ago

PLZ HELP ME PLS HELP ME ​

PLZ HELP ME PLS HELP ME