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Hunter-Best [27]
3 years ago
13

The original height of the leaning tower of pisa was 184.5 feet. at a distance of 140 feet from the base of the tower, the angle

of elevation from the ground to the top of the tower is 59 degrees. how far is the tower leaning from the original vertical position?
a. 7.4
b. 9.6
c. 7.8
d. 9.1
Mathematics
1 answer:
NeTakaya3 years ago
8 0
The answer is D. 9.1
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Point P is the interior of LaTeX: \angle OZQ.\:∠ O Z Q .If LaTeX: m\:\angle\:OZQ\:m ∠ O Z Q= 125 and LaTeX: m\angle OZP\:m ∠ O Z
saw5 [17]

Answer:

<h2>∠PZQ = 63°</h2>

Step-by-step explanation:

If point P is the interior of ∠OZQ , then the mathematical operation is true;

∠OZP +  ∠PZQ =  ∠OZQ

Given parameters

∠OZQ = 125°

∠OZP = 62°

Required

∠PZQ

TO get  ∠PZQ, we will substitute the given parameters into the expression above as shown

∠OZP +  ∠PZQ =  ∠OZQ

62° +  ∠PZQ = 125°

subtract 62° from both sides

62° +  ∠PZQ - 62° = 125° - 62°

∠PZQ = 125° - 62°

∠PZQ = 63°

<em>Hence the value of ∠PZQ  is 63°</em>

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Which one of the following expressions has an even integer value for all integers a and c ?
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What is the midpoint of the segment (0,9) and (5,4)
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There were 28 hats, 12 bicycles, and 19 teddy bears sold during a neighborhood yard sale. How many items were sold at the neighb
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3 years ago
The general form of a circle is given as x^2 +y^2 +4x - 12y + 4 = 0.
MrRa [10]
Part 1) The general form of a circle is given as x²+y²<span> +4x - 12y + 4 = 0.

(a)What are the coordinates of the center of the circle?
(b)What is the length of the radius of the circle?

</span>x²+y² +4x - 12y + 4 = 0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

(x²+4x)+(y²- 12y)=-4

Complete the square twice. Remember to balance the equation by adding the same constants to each side

(x²+4x+4)+(y²- 12y+36)=-4+4+36

Rewrite as perfect squares

(x+2)²+(y-6)²=36--------> (x+2)²+(y-6)²=6²
center (-2,6)
radius 6

the answer Part a) is 
the center is the point (-2,6)

the answer Part b) is
the radius is 6

Part 2) <span>A 10-foot ladder placed on level ground leans against the side of a house. The ladder reaches a point that is 9.2 feet up on the side of the house.
(a)What is the measure of the angle formed by the ladder and the level ground? Round your answer to the nearest degree.

see the picture attached N 1 to better understand the problem

we know that
sin </span>∅=opposite side angle ∅/hypotenuse
opposite side angle ∅=9.2 ft
<span>hypotenuse=10 ft
so
sin </span>∅=9.2/10-----> 0.92
∅=arc sin (0.92)------> ∅=66.93°-----> ∅=67°
<span>
the answer Part a) is 
67</span>°
<span>
Part b) </span><span>The same 10-foot long ladder is placed against the building according to OSHA’s safety standard. 
What is the distance between the foot of the ladder and the foot of the building? Round your answer to the nearest tenth.
</span>
see the picture attached N 2 to better understand the problem

cos 75=adjacent side angle 75/hypotenuse
adjacent side angle 75=AC
hypotenuse=10 ft
so
cos 75=AC/10---------> AC=10*cos 75----> AC=2.59 ft----> AC=2.6 ft

the answer Part b) is
Distance between the foot of the ladder and the foot of the building is 2.6 ft

5 0
3 years ago
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