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2 years ago

Question 27 Find the length of the hypotenuse. Leave answer in simplest radical form.

Mathematics

1 answer:

skelet666 [1.2K]2 years ago

6 0

Use SOHCAHTOA. Since we are looking for the hypotenuse, you must use sine or cosine. Since, we are given the adjacent side, use cosine.

cosx=a/h

cos45=8/h

√2/2=8/h

*Cross multiply*

h√2=16

*Divide both sides by √2*

h=16/√2

*Multiply by √2/√2*

h=(16√2)/2

*Simplify the fraction*

h=8√2

Hope this helps!!

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Answer:

The time taken for the flare to hit the ground is approximately 10.7 seconds.

Step-by-step explanation:

Given : Suppose a flare is shot from the top of a 120 foot building at a speed of 160 feet per second. The equation $h =- 16t^2+ 160t + 120$ models the h height at t seconds of the flare.

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Solution :

The equation $h =- 16t^2+ 160t + 120$ models the h height at t seconds of the flare.

The flare to hit the ground when h=0.

Substitute in the equation,

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Where, a=-16, b=160 and c=120

$x=\frac{-160\pm\sqrt{160^2-4(-16)(120)}}{2(-16)}$

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Reject the negative value.

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