Answer:
The angle is approximately 
.
Step-by-step explanation:
We should start with a diagram (like the one attached). Notice the length of the tower and the length of the shadow are the legs of a right triangle, and the angle of elevation is an acute angle of that triangle.
Since we are given the opposite and adjacent sides to the angle, we will use the tangent function:
In this case, the opposite side is the height of the tower, 166 ft. The adjacent side is the length of the shadow, 167 ft. So, we have:
To get the angle, we need to use inverse tangent:
The angle is approximated when rounded to the nearest degree.
Answer:
26
Step-by-step explanation:
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Answer:
radius = 5 units
Step-by-step explanation:
leg lengths of 6 and 8
AC = 6
BC = 8
Notice that since AB = diameter of circle and that C is inscribed in circle O
angle C = 90 degrees
triangle ABC is a right triangle
(AB )^2 = (AC)^2 + (BC)^2 by Pythagorean theorem
so
(AB)^2 = 6^2 + 8^2 = 36 + 64 = 100
AB = square root of 100 = 10
so AO = (1/2) *AB = (1/2)*10 = 5
X+y=4
2x+y=6
make first equation negative
-x-y=-4
add to first equation
2x-x+y-y=6-4
x=2
subsitute
x+y=4
2+y=4
y=2
or
x+y=4
subtract x from both sdies
y=4-x
subsitute 4-x for y in second equation
2x+4-x=6
x+4=6
x=2
