I need help! Thanks!

In math class, James, Hadley, and Gwen were challenged to go stand on the field in a random location and find the distance betwe

o-na [289]

The interior angles of the triangle of 61°, 73°, and 46°, and the distance from James to Hadley of 15 meters gives;

Gwen to Hadley ≈ 18.24 meters

Gwen to James ≈ 19.94 meters

<h3>How can the distances between the students be found?</h3>

The given angles are;

At James's location; 61°

At Hadley's location; 73°

At Gwen's location; 46°

The distance between James and Hadley = 15 meters

The angle facing the distance between James and Hadley is the angle at Gwen, 46°

The angle facing the distance between Gwen and James is the angle at Hadley, 73°

The angle facing the distance between Gwen and Hadley is the angle at James, 61°

The angle that faces the 15 meter length is the angle at Gwen, which is 46°

By the rule of sines, the distance from Gwen to Hadley is therefore;

$\frac{15}{sin( 46 ^ \circ)} = \frac{Gwen \: to \: Hadley}{sin( 61 ^ \circ)}$

Which gives;

$Gwen \: to \: Hadley= \frac{15 \times sin( 61 ^ \circ) }{sin( 46 ^ \circ)} \approx 18.24$

Gwen to Hadley ≈ 18.24 meters

Similarly, we have;

$\frac{15}{sin( 46 ^ \circ} = \frac{Gwen \: to \: James}{sin( 73 ^ \circ)}$

Therefore;

$Gwen \: to \: James = \frac{15 \times sin( 73 ^ \circ) }{sin(46 ^ \circ)} \approx 19.94$

Gwen to James ≈ 19.94 meters

Learn more about the rule of sines here:

brainly.com/question/4372174

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4 0

2 years ago

What is the answer to 2+2

Bingel [31]

Answer:

4

Step-by-step explanation:

2 + 2 = 4

5 0

3 years ago

Read 2 more answers

Which sequence shows a pattern where each term is 1.5 times the previous term?

Anna11 [10]

Answer:

-200, -300, -450, -675

Step-by-step explanation:

Let's look at each sequence individually, and see what relates them.

For the first sequence, -4 can be multiplied by -3/2 to get 6. Therefore, each term in the first sequence is -3/2 times the previous term. This is not what we are looking for.

For the second sequence, (n)*5 is added for the nth term after 10.

i.e. (1*5)+10=15, (2*5)+15=25, (3*5)+25=40, and so on...

This is still not the correct answer.

For the third sequence, 1.5 is added to the previous term to get the next term. This is still not what we are looking for.

Finally, let's look at the fourth sequence. -200 can be multiplied by 1.5 to get the next term, -300, which can be multiplied by 1.5 to get the following term, -450. Since each term in this sequence is multiplied by 1.5 to get the following term, (-200, -300, -450, -675...) is the sequence we're looking for.

Hope this helps!

3 0

2 years ago

Read 2 more answers

Can someone please help . i don’t get what they mean by labeling it e

IrinaVladis [17]

Answer:

The context suggests that they want you to label the intersect point of the two circles above c as e and compare the length between those two and the line between a and d

4 0

3 years ago

Which statement is true about the graphs of the two lines and ? y= -8x -5/4 and y = 1/8x + 4/5

Ronch [10]

Y = -8x - 5/4......slope here is -8 or -8/1
y = 1/8x + 4/5...slope here is 1/8

what u have here are negative reciprocal slopes....negative reciprocal of a number can be found by flipping the number and changing the sign. So the negative reciprocal of -8/1 is 1/8 (see how I flipped the number and changed the sign)...and when u have negative reciprocal slopes, this means that ur lines are perpendicular.

7 0

3 years ago