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Galina-37 [17]
2 years ago
7

A boy borrowed his boat 531 feet out into the ocean. When he looked back he saw the house on a cliff above the beach where he se

t out. He estimated the angle of elevation was 26 degrees. Estimate to the nearest foot. the height of the house above the water
Mathematics
1 answer:
Ludmilka [50]2 years ago
8 0

Answer:

259 ft.

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. Types of triangles are isosceles. scalene, equilateral, acute, obtuse and right angled triangle.

A right angled triangle is a triangle in which one of the angles is 90 degrees. Trigonometric ratios show the relationship between the angles of a right angle triangle and its sides.

Let h represent the height of the house above water, hence using trigonometric ratios:

tan(26) = h / 531

h = 531 * tan(26)

h = 259 ft.

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Step-by-step explanation:

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Fofino [41]

Answer:

. We assume, that the number 260 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 260 is 100%, so we can write it down as 260=100%.

4. We know, that x is 6.75% of the output value, so we can write it down as x=6.75%.

5. Now we have two simple equations:

1) 260=100%

2) x=6.75%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

260/x=100%/6.75%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 6.75% of 260

260/x=100/6.75

(260/x)*x=(100/6.75)*x       - we multiply both sides of the equation by x

260=14.814814814815*x       - we divide both sides of the equation by (14.814814814815) to get x

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now we have:

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