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hram777 [196]
3 years ago
10

From a hot air balloon, the angle between a radio antenna straight below and the base of the library downtown is 57°, as shown b

elow. If the distance between the radio antenna and the library is 1.3 miles, how many miles high is the balloon?
Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
5 0
I will try my best to answer this, but it will be difficult to determine which angles and distances are where since you did not provide the picture. 

You can use the tangent of the 57 degree angle to find your answer. 
tan=opposite/adjacent 
tan(57 degrees)=1.3/X
X=1.3/tan(57 degrees)
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3 years ago
Please help I need an answer ASAP and if you can an explanation
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Answer:

x = 8 units.

Step-by-step explanation:

We'll begin by calculating the length of the two squares attached to the triangle.

From the question given above, the areas of the two square are the same i.e 32 units². Therefore, the length of the two square will be the same.

Now, we shall determine the length of the square as follow:

Area of square (A) = 32 units²

Length (L) =?

Area of square (A) = Length (L) × Length (L)

A = L × L

A = L²

32 = L²

Take the square root of both side

L = √32 units

Therefore, the length of the square is √32 units. This implies that the length of both side of the triangle is √32 units

Now, we shall determine the value of x using pythagoras theory.

From the diagram above we can see that x is the Hypothenus i.e the longest side. Thus, the value of x can be obtained as follow:

x² = (√32)² + (√32)²

x² = 32 + 32

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Take the square root of both side

x = √64

x = 8 units.

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x = 19 degrees

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