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Ludmilka [50]
3 years ago
9

Help me plz i neEd answer

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
6 0

Answer:

C)64 feet^{2}

Step-by-step explanation:

The formula for the area of a trapezium is :

\frac{a+b}{2} *height

A is the top line

B is the bottom line

To work this out you would first add 6 to 10, which is 16. Then you would divide 16 by 2, which is 8. Then you would multiply 8 by 8, which is 64 feet^{2}

1) Add 6 to 10.

6+10=16

2) Divide 16 by 2.

16/2=8

3) Multiply 8 by 8.

8*8=64 feet^{2}

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An observer on top of a 50-foot tall lighthouse sees a boat at a 7° angle of depression. To the nearest foot, how far is the boa
Yuri [45]

Answer:

407.22 foot is the boat from the base of the lighthouse

Step-by-step explanation:

Given the statement: An observer on top of a 50-foot tall lighthouse sees a boat at a 7° angle of depression.

Let x foot be the distance of the object(boat) from the base of the lighthouse

Angle of depression = 7^{\circ}

\angle CAB = \angle DCA = 7^{\circ}       [Alternate angle]

In triangle CAB:

To find AB = x foot.

Using tangent ratio:

\tan (\theta) = \frac{Opposite side}{Adjacent Base}

\tan (\angle CAB) = \frac{BC}{AB}

Here, BC = 50 foot and \angle CAB =7^{\circ}

then;

\tan (7^{\circ}) = \frac{50}{x}

or

x = \frac{50}{\tan 7^{\circ}}

x = \frac{50}{0.1227845609}

Simplify:

AB = x = 407.217321 foot

Therefore, the boat from the base of the light house is, 407.22'





5 0
3 years ago
Which subsets of real numbers does -22 belong
deff fn [24]
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4 years ago
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aleksklad [387]
The answer should be B! Hope this helped :)
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