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nignag [31]
2 years ago
5

2 vertical buildings are 42 metres apart and the shorter building is 135m high. The angle of elevation from the top of the short

er building to the top of the taller building is 60 degrees. Find the height of the taller building to the nearest metre.
Mathematics
1 answer:
ipn [44]2 years ago
6 0

Answer:

Step-by-step explanation:

base=42 m

height=h=?

base angle θ=60°

tan 60=h/42

h=42tan 60=42√3≈72.75 m

height of taller building=135+42√3 m≈135+72.75≈207.75 m≈208 m

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Both figures always have four sides

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3 years ago
Diego's history teacher writes a test for the class with 26 questions. The test is worth 123 points and has two types of questio
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Answer:

The number of essay questions on the test were 9

Step-by-step explanation:

Given as :

Total number of questions in a test = 26

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Let The number of multiple choice questions = m

Let The number of essay questions = e

<u>Now, According to question</u>

Total number of questions in a test = number of multiple choice questions +  number of essay questions

Or, m + e = 26         .....A

Again

Total points for the 26 questions =  point for each multiple choice questions  ×  number of multiple choice questions + point for each essay questions × number of essay questions

i.e 3 × m + 8 × e = 123

Or, 3 m + 8 e = 123          .......B

Solving the equation we get

8 × ( m + e ) - (3 m + 8 e) = 8 × 26 - 123

Or, 8 m + 8 e - 3 m - 8 e = 208 - 123

Or,(8 m -  3m) + (8 e - 8 e) = 85

Or, 5 m + 0 = 85

∴  m = \dfrac{85}{5}

i.e m = 17

So,The number of multiple choice questions = m = 17

Put the value of m into eq A

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Or, e = 26 - 17

i.e e = 9

So, The number of essay questions = e = 9

Hence, The number of essay questions on the test were 9 . Answer

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3 years ago
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Answer:

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Step-by-step explanation:

then

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Best regards

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3 years ago
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ser-zykov [4K]

Answer:

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Find the value of x.
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Answer:

x = 10

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3 years ago
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