Answer:
Can't solve it without the graph.
Answer:
The answer is below
Step-by-step explanation:
Ava wants to know the distance JK across a pond. She locates points as shown. She says that the distance across the pond must be 160 ft by the SSS Triangle Congruence Theorem.
Solution:
Two triangles are said to be congruent if they their three sides are equal and their three angles are equal.
From the image attached we can say that triangle LMN and triangle JNK are congruent since they have they share the same angle (∠N) and both of their sides are equal. This is the side, angle, side (SAS) congruence theorem.
Hence since they are congruent, JK = 160 feet by the SAS triangle congruence theorem.
Answer and Explanation:
The problem provides the following information:
Hypotenuse
=
h
y
p
=
5129
ft
Vertical drop
=
o
p
p
=
1275
ft
To find the angle of depression, the best trigonometric ratio to use is the sine ratio. After equating it with the ratio of the opposite side over the hypotenuse, get the inverse of the sine ratio as shown:
sin
θ
=
o
p
p
h
y
p
θ
=
sin
−
1
(
o
p
p
h
y
p
)
θ
=
sin
−
1
(
1275
ft
5129
ft
)
θ
=
sin
−
1
(
0.2485864691
)
θ
=
14.3938824691
≈
14.4
∘
The angle of depression is
14.4
Set up slope formula and solved for x.
2d-7=11d+26
-2d-26=-2d-26
-33/9=9/9d
d= -33/9
d= - 11/3
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