Next week your math teacher is giving a
1 answer:
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Answer:
Step-by-step explanation:
we know that
In a rectangle, the two diagonals are congruent and each diagonal bisects the other
so
----> equation A
-----> equation B
step 1
Find the value of x
solve equation A
substitute the given values
solve for x
step 2
Find the value of KE
substitute the value of x
Remember that
-----> by each diagonal bisects the other
therefore
Answer:
DC = 1332.95 feet
Step-by-step explanation:
From the figure attached,
Let the measure of DC = h ft
And measure of side BC = a ft
By applying tangent ratio in ΔBCD,
tan(56°) =
=
=
h = a[tan(56°)] --------(1)
By applying tangent rule in ΔACD,
tan(22°) =
tan(22°) =
=
h = (a + 2400)tan(22°) ------- (2)
Equating the values of h from equations (1) and (2),
a[tan(56°)] = (a + 2400)tan(22°)
a[tan(56°) - tan(22°)] = 2400[tan(22°)]
1.0785a = 968.6629
a = 899.085 ft
From equation (1),
h = 899.085[tan(56°)]
h = 1332.948
h ≈ 1332.95 ft