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hram777 [196]
3 years ago
14

A forest ranger sights a fire directly to the south. A second​ ranger, 7 miles east of the first​ ranger, also sights the fire.

The bearing from the second ranger to the fire is Upper S 22 degrees Upper W. How far is the first ranger from the​ fire?

Mathematics
1 answer:
tresset_1 [31]3 years ago
4 0

Answer:

17 miles

Step-by-step explanation:

Let the first Ranger be at A and the second Ranger at Point B.

Using alternate angles, ∠AXB=22°.

We want to determine the distance of the first ranger at point A to the fire(X).

Using trigonometry,

Tan = Opposite/Adjacent

Tan 22°= 7/|AX|

|AX| X Tan 22°= 7

|AX| = 7/Tan 22°=17.32560797391

= 17 miles( to the nearest mile)

The first ranger is 17 miles from the fire.

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The faster you drive the less time it takes to reach your destination (a driver's speed is inversely proportional to the drive t
ziro4ka [17]

Answer:

The time the trip takes Kelly is approximately 34 minutes

Step-by-step explanation:

The topic examined by the question is the relationship between speed, distance traveled, and time which is presented here as follows;

Speed, \ S = \dfrac{Distance \ travelled \ 'd'}{Time \ taken \ 't'}

The given parameters of the journey are;

The time it takes Mike to travel from point 'a' to point 'b' = 45 minutes

The speed with which Mike travels = 60 miles an hour

The speed with which Kelly travels the same trip = 80 miles an hour

Let 'd' represent the distance from point 'a' to point 'b', and let 't' represent the time the trip takes Kelly

For Mike, we have;

S = d/t

∴ d = S × t

Where;

S = 60 miles per hour

t = 45 minutes = 0.75 hour

d = 60 miles/hour × 0.75 hour = 45 miles

The distance from point 'a' to point 'b' = d = 45 miles

Similarly, from S = d/t, we have for Kelly the time 't' given as follows;

t = d/S

Where;

S = 80 miles/hour

d = 45 miles

∴ t = 45 miles/(80 miles/hour) = 9/16 hour = 9/16 hour × 60 min/hour = 33.75 minutes

The time the trip takes Kelly = 33.75 minutes ≈ 34 minutes.

3 0
2 years ago
A(1)=20​​ <br> a(n)=a(n−1)−17​​ <br> Find the 3rd term in the sequence
Alexxx [7]
Answer: The third term is -14

----------------------------------------------

Explanation:

First term = A(1) = 20, which is given

Second term
A(n) = A(n-1) - 17
A(2) = A(2-1) - 17
A(2) = A(1) - 17 .... note: second term = (first term) - 17
A(2) = 20 - 17
A(2) = 3

Third term
A(n) = A(n-1) - 17
A(3) = A(3-1) - 17
A(3) = A(2) - 17 ... note: third term = (second term) - 17
A(3) = 3 - 17
A(3) = -14
6 0
3 years ago
Tammy will rent a car for the weekend. She can choose one of two plans. The first plan has no initial fee but costs 0.70 per mil
tensa zangetsu [6.8K]
This problem is about linear equations. We assume Dale drive X miles, and the total cost is $Y, then we can get:
Plan I: Y=38+0.11X
Plan II: Y=49+0.07X
When both plans cost the same, 38+0.11X=49+0.07X. We will get X = 275miles, and Y=$68.25
7 0
3 years ago
Pls help I’m failing I’ll add<br> Extra points <br> Is it rational or irrational show ur work
Vladimir79 [104]

Answer: below :p

Step-by-step explanation:

First problem is irrational since square roots are part of the irrational group.

Second problem is rational since the decimal is repetitive or repeating in an infinite 363636.

8 0
3 years ago
What is 10.417 rounded to the nearest hundredth?
san4es73 [151]
10.417 rounded to the nearest hundredth = 10.42
3 0
3 years ago
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