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Oliga [24]
3 years ago
5

Bob is building a wooden cabin. The cabin is 30 meters wide. He obtained a bunch of 17 meters long wooden beams for the roof of

the cabin. Naturally, he wants to place the roof beams in such an angle that each pair of opposite beams would meet exactly in the middle. What is the angle of elevation, in degrees, of the roof beams? Round your final answer to the nearest tenth.
Mathematics
1 answer:
qaws [65]3 years ago
3 0
The roof will be in the shape of an isosceles triangle with a base length of 30 m and two sides that are 17 m. The two 17 m beams will have the same angle of elevation since they have to might in the middle.

So to find the angle of elevation, we can split the roof in half vertically to create a right triangle. The base will now be 15 m, and the hypotenuse will be 17. Now we can use a trigonometry function to solve for the angle. We know the hypotenuse and the side adjacent to the angle, so we can use cosine.

cos(\theta) =  \frac{adjacent}{hypotenuse}

cos(\theta)= \frac{15}{17}

cos^{-1}( \frac{15}{17})=\theta

\theta = 28.1^{\circ}

The answer  is 28.1 degrees
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6 0
4 years ago
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3 years ago
How do you know when a term is defined or undefined
lord [1]
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<span>POINT (an undefined term) </span>
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<span>LINE (an undefined term) </span>
<span>In geometry, a line has no thickness but its length extends in one dimension and goes on forever in both directions. A line is depicted to be a straight line with two arrowheads indicating that the line extends without end in two directions. A line is named by a single lowercase written letter or by two points on the line with an arrow drawn above them. </span>

<span>PLANE (an undefined term) </span>
<span>In geometry, a plane has no thickness but extends indefinitely in all directions. Planes are usually represented by a shape that looks like a tabletop or wall. Even though the diagram of a plane has edges, you must remember that the plane has no boundaries. A plane is named by a single letter (plane m) or by three non-collinear points (plane ABC). </span>

<span>Undefined terms can be combined to define other terms. Noncollinear points, for example, are points that do not lie on the same line. A line segment is the portion of a line that includes two particular points and all points that lie between them, while a ray is the portion of a line that includes a particular point, called the end point, and all points extending infinitely to one side of the end point. </span>

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5 0
3 years ago
The flow rate for a water pump is 87.4 gallons in 15 minutes. At that rate, how much water will be pumped into a swimming pool p
Savatey [412]

Answer: 349.6 gallons

Step-by-step explanation:

This is a simple proportion problems.

The flow rate = 87 . 4 gallons was dispensed in 15 minutes

That is 15 minutes = 87.4 gallons

Therefore 1 minute = ( 87.4/15 ) gallons

Recall 60 minutes = 1 hour

Now in 60 minute = (87.4/15 ×60/1 ) gallons

= 87.4 × 4

= 349.6 gallons

(Invariably) , Alternative method

15 minutes. = 1/4 of an hour 1/4 = 87 .4 gallons. A gallon. = 87.4/1/4

Recall that reciprocal of 1/4 = 4

Now = 87 .4/1/4

=87.4 × 4

Therefore 1 hour = 87.4 × 4 × 1

= 349 . 6 gallons

7 0
4 years ago
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Ksenya-84 [330]

Answer:

-5/7

Step-by-step explanation:

not 100% sure is thats the answer but i tried.

5 0
3 years ago
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