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san4es73 [151]
3 years ago
15

A person standing 213 feet from the base of a church observed the angle of elevation to the church's steeple to be 33 ∘ .

Mathematics
1 answer:
solniwko [45]3 years ago
3 0

Complete Question

A person standing 213 feet from the base of a church observed the angle of elevation to the church's steeple to be 33 ∘. Find the height of the church

Answer:

138.3 ft

Step-by-step explanation:

We solve this question above using using the Trigonometric function of Tangent.

tan θ = Opposite/Adjacent

Where:

Opposite = Height of the church = x

Adjacent = Distance for the base of the church = 213ft

Angle of elevation θ = 33°

Hence:

tan 33 = x /213 ft

Cross Multiply

x = tan 33 × 213 ft

x = 138.32381735 ft

x = Opposite Approximately = 138.3 ft

Therefore, the height of the church = 138.3 ft

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vfiekz [6]

Answer:

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Step-by-step explanation:

Based on given information, the volume of the prism (V), in cubic inches, is determined by using this formula:

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Where:

b - Base of the triangular face, in inches.

h - Height of the triangular face, in inches.

l - Length of the prism, in inches.

If we know that b = 3\,in, h = 2.5\,in and l = 9\,in, then the volume of the prism is:

V = \frac{1}{2}\cdot b\cdot h \cdot l

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3 years ago
The perimeter of a rectangle is 14x - 8 feet. If the width of the rectangle is 5x, what is the rectangle's length?
wariber [46]

Length = 2x+4

Step-by-step explanation:

P=2W+2L

14x+8 =2(5x)+2L

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4x+8=2L

(4x+8)/2=L

<u>2x+4=L</u>

4 0
3 years ago
circle the greater fraction. then write and solve a subtraction problem to find the difference of the fractions. 9/10 - 11/12
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The measure of the first angle in a right triangle is 10 less than the measure of the second angle.The third angle is the right
prohojiy [21]
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X will substitute for the second angle.

(X - 10) will substitute for the first angle, which is 10 less than the second angle (x).

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The equation therefore, the summation of the angles:
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Join like terms:
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This means that:
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