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777dan777 [17]
3 years ago
15

The people of Bridgetown wanted to build a bridge across a nearby river. Since they were poor swimmers, their master Trigonomos

agreed to measure the width of the river without actually crossing it. Trigonomos spotted a tree across the river and marked the spot directly across from it. then he walked to another point 15 meters down the river and the line connecting him to the tree was 76 degrees what is the width of the river?
Mathematics
1 answer:
VikaD [51]3 years ago
5 0

Answer:

60.2 m

Step-by-step explanation:

Let x represent the width of the river.  The distance from the point across from the tree to the second point is 15 m.  The angle from this point to the tree across the river is 76°.

This makes the side opposite the angle x, the width of the river.  It also means the 15 m side is adjacent to this angle.

The ratio opposite/adjacent is the ratio for tangent; this gives us the equation

x/15 = tan(76)

Multiply both sides by 15:

15(x/15) = 15(tan(76))

x = 15(tan(76)) ≈ 60.2

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Yuliya22 [10]

Answer:

(3, 3) × 13 = (39, 39)

(0, 3) × 13 = (0, 39)

(6, -6) × 13 = (78, -78)

(9, 6) × 13 = (117, 78)

Step-by-step explanation:

Because the center of dilation is at (0, 0), or the origin, we can just multiply the x and y values of each point by the scale factor of 13.

(3, 3) × 13 = (39, 39)

(0, 3) × 13 = (0, 39)

(6, -6) × 13 = (78, -78)

(9, 6) × 13 = (117, 78)

Read more on Brainly.com - brainly.com/question/11445104#readmore

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4 years ago
What is the length of the leg.s of the triangle below
Bingel [31]

Answer:

10

Step-by-step explanation:

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3 years ago
Is it enough to plot two points to see a pattern for a graph ? Explain.
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Write an equation of the circle with center (-7, 4) and radius 8.
Stels [109]

answer

(x+7)^2 + (y-4)^2 = 64

set up equation

the equation of a circle is (x - h)^2 + (y - k)^2 = r^2

where h is the center x coordinate and k is the center y coordinate

values

from the point (-7,4) we know that h = -7 and k = 4

since the radius is 8, r^2 = 8^2 = 64

plug in values

now that we have all the values, we plug them into (x - h)^2 + (y - k)^2 = r^2

(x - h)^2 + (y - k)^2 = r^2

(x - (-7))^2 + (y-4)^2 = 64

(x+7)^2 + (y-4)^2 = 64

7 0
3 years ago
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