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kap26 [50]
3 years ago
12

Please help The diagram shows a 5ft student standing near a tree

Mathematics
1 answer:
Novosadov [1.4K]3 years ago
8 0

Answer:

25 ft

Step-by-step explanation:

The diagram shows two triangles that are similar.  Similar triangles have equal angles and sides that are proportional to each other.  Since the base of each triangle is given, we can find the proportion of the sides:

\frac{smaller}{larger}=\frac{8}{40}=\frac{1}{5}

Given the ratio of the smaller to larger triangle, we can set up a proportion to find the missing height of the larger triangle:

\frac{1}{5}=\frac{5}{x}, where 'x' represent the height of the tree

cross-multiply:  x = (5)(5) or 25 ft

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Step-by-step explanation:

about 17

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The quotient of 24 and the sum of<br> -4 and<br> -8
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0.75

Step-by-step explanation:

-4 x -8 = 32

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Change 1/5 to a decimal with work shown
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Read 2 more answers
An airplane flies due north from ikeja airport for 500km.It then flies on a bearing of 060 from a further distance of 300km befo
Nata [24]

Answer:

482 km

63.94 degrees

Step-by-step explanation:

to solve this question we will use the cosine rule. For starters, draw your diagram. From point A, up north is 500km and 060 from there, another 300. If you join the point from the road junction back to the starting point, yoou have a triangle.

Cosine rule states that

C = \sqrt{A^{2} + B^{2} -2AB   cos(c)  }

where both A and B are the given distances, 500 and 300 respectively, C is the 3rd distance we're looking for and c is the given angle, 060

solving now, we have

C = \sqrt{500^{2} + 300^{2} -2 * 500 * 300 cos(60)  }

C = \sqrt{250000 + 90000 - [215000   cos(60)  }]

C = \sqrt{340000 - [215000 * 0.5  }]

C = \sqrt{340000 - [107500  }]

C =\sqrt{232500}

C = 482 km

The bearing can be gotten by using the Sine Rule.

\frac{sina}{A} = \frac{sinc}{C}

sina/500 = sin60/482

482 sina = 500 sin60

sina = \frac{500 sin60}{482}

sina = 0.8983

a = sin^-1(0.8983)

a = 63.94 degrees

6 0
2 years ago
A circle is centered at the point (7,1) and passes through the point (8,7). what is the radius
Scorpion4ik [409]
Easy

the radius is the distance from the center to a point on the circle

we are given
center=(7,1)
 a point=(8,7)
find the distance
distance formula
D=\sqrt{(x2-x1)^2+(y2-y1)^2}

so the distance between point and center is radius
D=\sqrt{(8-7)^2+(7-1)^2}
D=\sqrt{(1)^2+(6)^2}
D=\sqrt{1+36}
D=√37 units


radius is √37 units
7 0
3 years ago
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