Find, to the nearest degree, the angle of elevation of the sun at a time when a tree 20 feet high casts a shadow 12 feet long .

Angle of elevation of sun = 59°

Step-by-step explanation:

Given:

Height of tree = 20 feet

Shadow of tree on ground = 12 feet

Find:

Angle of elevation of sun

Computation:

Height of tree = Perpendicular

Shadow of tree on ground = Base

Using trigonometry function;

Tanθ = Perpendicular / Base

Tanθ = 20 / 12

Tanθ = 1.66

Tanθ = Tan 59°

θ = 59°

So,

Angle of elevation of sun = 59°

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.  

.632

step-by-step explanation:

6 * 1/10 = 3/5

3*0.01 = 0.03

3/5 + 0.03 = .63

2*0.002 = .002

.63 + 0.002 = .632