A forest ranger sights a fire directly to the south. A second ranger, 99 miles east of the first ranger, also sights the fire. The bearing from the second ranger to the fire is Upper S 29 degrees Upper WS 29° W. How far is the first ranger from the fire?

The first ranger is approximately 54.88 miles away from the fire.

Step-by-step explanation:

We have drawn the diagram for your reference.

Given:

Distance between first ranger and second ranger (AB)= 99 miles

Angle between fire and second ranger =

We need to find the distance between the first ranger from the fire.

Solution:

Let the distance between the first ranger from the fire (AC) be 'x'.

So we can say that;

We know that;

tan of angle B is equal to opposite side divided by adjacent side.

Hence the first ranger is approximately 54.88 miles away from the fire.

see below

step-by-step explanation:

7.   there are 10 data points in the set.   the middle point is between 5 and 6.   the middle point in the top half is 8   and the middle point in the bottom half is 3. to find the iqr , take point 8 and subtract point 3

mid term   point 8 = 100   point 3 = 88

iqr = 100-88 = 12

final   point 8 = 93   point 3 = 78

iqr = 93 - 78 = 15

the final has the greatest iqr

6.   b - there is a high data value that causes the data set to be asymmetrical for the males: the data for males are high and asymmetrical .   there is an outlier for the males that skews the data

5.   the   iqr is a better measure of spread for the movies and basketball games.   since the basketball game has an outlier, we do not want to use standard deviation for measurement.  

3.   the exam median is much higher than the class median.   the median line is farther to the right on the exams

2.   there is no way to tell what the means are from the box and whisker plots.  

need more info

step-by-step explanation: