Answer:
John ski down the mountain is 1285.37 feet.
Step-by-step explanation:
Given : John is skiing on a mountain with an altitude of 1200 feet. The angle of depression is 21.
To find : About how far does John ski down the mountain ?
Solution :
We draw a rough image of the question for easier understanding.
Refer the attached figure below.
According to question,
Let AB be the height of mountain i.e. AB=1200 feet
The angle of depression is 21 i.e. 
We have to find how far does John ski down the mountain i.e. AC = ?
Using trigonometric,




Therefore, John ski down the mountain is 1285.37 feet.
360 ÷ 12 = 30.
The measure of an interior angle of a dodecagon is 30°. (:
Answer:
<h3> x = -9, y = -13 </h3><h3> or x = 13, y = 9</h3><h3> or x = -13, y = -9</h3><h3> or x = 9, y = 13</h3>
Step-by-step explanation:


Answer:
The ratio of boys to girls is 4:5. So let 4x be the number of boys and 5x be the number of girls. Then 4x+5x = 9x is the total number of students. Then the fraction of boys in the class is 4x/9x = 4/9.
Answer:
z=40 degrees
x=90 degrees
y=40 degrees
Step-by-step explanation:
To solve z you know that 50+90+z= 180 degrees. So z equals 40. To solve x you subtract 90 from 180 to get 90 degrees. To solve you add 50+x+y. You know that x= 90. You would add the angles together to get 180 degrees. 50+90=140 and 180-140 equals 40. Sorry if i'm wrong.