Answer:
3
/2
Step-by-step explanation:
As given, AC = BC, its an isosceles triangle.
Now, CD is perpendicular to AB, therefore AD = DB = 0.5AB = 3/2
Now take triangle ACD,
using Pythagoras theorem,
AC =
AC = 3
/2
:-)
Answer:
Cliff is 45 m tall.
Step-by-step explanation:
Given:
Height of Sarah = 1.8 m
Angle of elevation = 60°
Angle of elevation 50 m back = 30°
As shown in the figure we have two right angled triangles SPQ and SPR.
Let the height of the cliff be
meters and
.
Using trigonometric ratios:
tan (Ф) = opposite/adjacent
In ΔSPQ. In ΔSPR.
⇒
...equation (i) ⇒
...equation (ii)
Dividing equation (i) and (ii)
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒
⇒
meters
To find
plugging
in equation (i)
⇒ 
⇒ 
⇒
meters
The height of the cliff from ground :
⇒ 
⇒ 
⇒
meters
The cliff is 45 m tall to the nearest meter.
Answer:
- <u>He should graph the functions f(x) = 4x and g(x) = 26 in the same coordinate plane. The x-coordinate of the intersection point of the two graphs is the solution of the equation.</u>
Explanation:
<em>To solve the equation 4x = 26</em> using graphs, he should graph two functions in the same coordinate plane. The intersection of the two graphs is the solution of the equation.
The functions to graph are f(x) = 4x, and g(x) = 26.
The graph of f(x) = 4x is a line that goes through the origin (0,0) and has slope 4.
Some of the points to graph that line are:
<u>x f(x) = 4x </u>
0 4(0) = 0 → (0,0)
2 4(2) = 8 → (2,8)
4 4(4) = 16 → (4,16)
6 4(6) = 24 → (4, 24)
With those points you can do an excellent graph of f(x) = 4x
The graph of g(x) = 26 is horizontal line (parallel to the y-axis) that passes through the point (0, 26), which is the y -intercept.
You have to extend both graphs until they intersect each other. The x-coordinate of the intersection point is the solution of the function.