4 years ago

Can anyone please help with this??

Mathematics

1 answer:

Crazy boy [7]4 years ago

3 0

:Answer:

You may want to use an online graphing calculator to help with this problem. :)

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A boat is 60m from the base of a lighthouse. The angle of depression between the lighthouse and the boat is 37°. How tall is the

LekaFEV [45]

Answer: 34.64 m

Step-by-step explanation:

Given: A boat is 60 m from the base of a lighthouse.

The angle of depression between the lighthouse and the boat is 37°.

By using trigonometric ratios :

$\tan x=\dfrac{\text{Side opposite to }x}{\text{Side adjacent to }x}$

here x= 37°, side opposite to x = height of lighthouse (h) , side adjacent to x = 60 m

$\tan 37^{\circ}=\dfrac{h}{60}\\\\\Rightarrow\ 0.57735=\dfrac{h}{60}\\\\\Rightarrow\ h= 60\times0.57735\approx34.64$

Hence, the lighthouse is 34.64 m tall.

6 0

3 years ago

The khan's car averages 22 miles per gallon of gas. how far they can travel on 5 gallons of gas. (Don't make a prediction)

ANTONII [103]

They can travel 110 miles for 5 gallons of gas.

22 • 5 = 110 miles on 5 gallons of gas

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3 years ago

Abigail's rectangular flower garden has a width of 4 1/4feet and an area of 12 3/4 square feet.

tresset_1 [31]

Answer:

3 feet long

Step-by-step explanation:

4 1/4x3=12 3/4

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3 years ago

It was 8 degrees below

Lunna [17]

Answer:

12 degrees

Step-by-step explanation:

8 below zero is -8.

20+ -8 = 12

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3 years ago

X2+6x-6=10 what are the solutions

snow_lady [41]

$x {}^{2} + 6x - 6 = 10$
$x {}^{2} + 6x - 6 - 10 = 0$
$x {}^{2} + 6x - 16 = 0$
$(x + 8)(x - 2) = 0$
$x = - 8 \: \: and \: \: x = 2$

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3 years ago