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3 years ago

PLEASE HELP! NO ONE HAS BEEN HELPING WITH MY QUESTIONS SO IT WOULD MEAN A LOT IF YOU DID!

Mathematics

1 answer:

kvv77 [185]3 years ago

3 0

Answer:

80 m²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = $\frac{1}{2}$ h (a + b)

where h is the perpendicular height between bases and a, b are the bases

Here h = 8, a = 14 and b = 6, thus

A = $\frac{1}{2}$ × 8 × (14 + 6) = 4 × 20 = 80 m²

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3 years ago

A suspension bridge has two main towers of equal height. A visitor on a tour ship

Scilla [17]

Answer:

The Height of the tower is 188.67 ft

Step-by-step explanation:

Given as :

The angle of elevation to tower = 15°

The distance travel closer to tower the elevation changes to 42° = 497 ft

Now, Let the of height of tower = h ft

The distance between 42° and foot of tower = x ft

So, The distance between 15° and foot of tower = ( x + 497 ) ft

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In Δ ABC

Tan 42° = $\frac{perpendicular}{base}$

Or , Tan 42° = $\frac{AB}{BC}$

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In Δ ABD

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0.900 x = ( x + 497 ) × 0.267

Or, 0.900 x - 0.267 x = 497 × 0.267

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Or, h = 188.67 ft

Hence The Height of the tower is 188.67 ft Answer

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3 years ago