11.1.3 Quiz: Introduction to Trigonometry
Question 5 of 10
2 Points
Fill in the blank.
A surveyor measures the angle of elevation to a point on a mountain to be 12
• The point on the mountain is horizontally 5 miles away from the surveyor.
The vertical change in elevation from the point where the surveyor is standing
to the point on the mountain is_ miles. (Round your answer to the
nearest hundredth of a mile.)
Answer here

Vertical change in the elevation is 1.06 miles.

Step-by-step explanation:

Distance between the surveyor C and the point A on a mountain = 5 miles

Angle of elevation of the point A from surveyor = 12°

We have to calculate the vertical height AB of the point A from the surveyor.

tan C =

tan 12° =

tan 12° =

h = 5tan12°

h = 1.063 miles

h ≈ 1.06 miles

Therefore, vertical change in the elevation is 1.06 miles.

this was already solved by me with a different person. if you look it up in the search bar at the top of the page, you will get the answer.

step-by-step explanation:

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be