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svp [43]
3 years ago
5

An observer on a cliff 1000 yards above sea level sights two ships due east. The angles of depression from the observers perspec

tive of the ships are 54 degrees and 35 degrees. Find the distance between the two ships. Round to the nearest hundredth yard.
Mathematics
1 answer:
Anika [276]3 years ago
3 0

Answer:

480.53 yards

Step-by-step explanation:

cos(35) = 1000/hypotenuse1    - multiply by h (hypotenuse)

(h1)cos(35) = 1000        - divide by cos(35)

h1 = 1000 / cos(35)

h1 = 1220.7746

Same thing with the angle of depression of 54 degrees.

h2 = 1000 / cos(54)

h2 = 1701.3016

h2 - h1 = 480.53

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LenKa [72]

Answer:

The correct answer is:

15/16

Step-by-step explanation:

In a toss of four fair coin, there are possibility of 16 occurrence because a coin have an head and a tail (2).

In 4 coins, we will have : 2⁴ = 16

Let S be the sample space, then:

S = { HHHH, HHHT, HHTT, HTTT, TTTH, TTHH, TTTH, TTTT, HTHT, THTH, HHTH, HTHH, TTHT,THHT, HTTH, THTT}

Let E₁ be the event that at least one head appears:

n(E₁) = 15

∴ Pr (E₁) = n(E₁)/ n(S)

             = 15/16

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3 years ago
The​ half-life of​ carbon-14 is 5600 years. If a piece of charcoal made from the wood of a tree shows only 66​% of the​ carbon-1
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4 years ago
the maximum distance D in kilometers that you can see from a height H in meters is given by the formula d equals 3.5 times the s
Irina-Kira [14]
First put the words in an algebraic format or a model. D = 3.5(√H). Now determine what the question is asking. It's height. Plug in the value of D. Distance is 35 km.
35 = 3.5(√H) We want to get H by itself. First thing to get away from it is 3.5. So                      divide 35 by 3.5 And 3.5(√h) by 3.5.
10 = √H        To get rid of √ do the opposite raise to the power of 2
10² = (√H)²   
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7 0
3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
Given f(x) = 2(4 – x)2, what is the value of F(15)? Record your answer and fat in the bubbles on your anser document​
kari74 [83]

Answer:

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Step-by-step explanation:

Step 1: Define

f(x) = 2(4 - x)²

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Step 2: Substitute and Evaluate

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6 0
3 years ago
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