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MAXImum [283]
3 years ago
8

A palm tree is supported by two guy wires as shown in the diagram below. Which trig expression can be used to find the height on

the tree where the top guy wire attaches if the base of the wire is four feet from the base of the tree? A sin (30° + 45°) B cos (75° – 45°) C tan (75° – 45°) D tan (30° + 45°)

Mathematics
1 answer:
Volgvan3 years ago
5 0

Answer:

D. tan(30^\circ+45^\circ) is the correct answer.

Step-by-step explanation:

The given situation can be represented as a figure attached in answer area.

B is the base of tree.

C is the base of wires.

A and D are the end of 2 wires supporting the tree.

\angle DCB =45^\circ\\\angle ACB =75^\circ\\

Here, we need to find the Height of the tree which is represented the by side AB.

and we are given that bases of wires and tree base are at a distance 4 ft.

i.e. side BC = 4 ft

If we look at the \triangle ABC, we are given the base BC and the \angle ACB, and the perpendicular is to be find out.

We can use trigonometric identity:

tan\theta =\dfrac{Perpendicular}{Base}

tan 75^\circ = \dfrac{AB}{BC}\\\bold {tan (45+30)^\circ }= \dfrac{AB}{4}\\\Rightarrow AB = \bold {tan (45+30)^\circ } \times 4 = 14.93\ ft

Hence, D. tan(30^\circ+45^\circ) is the correct answer.

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Determine the domain and range of the function represented by the graph below.
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Answer:

C. Domain: −2≤x≤2; Range: −2≤y≤2

Step-by-step explanation:

7 0
2 years ago
The sets of numbers 7, 24, 25 and 9, 40, 41 are Pythagorean triples. Use what you know about the Pythagorean Theorem and explain
salantis [7]

Answer:

25^2=625

24^2= 576

7^2= 49

as 625 = 576+49 so 7,24,25 form a Pythagorean triplet

similarly

9,40,41 also is a Pythagorean triplet

8 0
3 years ago
17. Explain whether 11t - 4t is equivalent to 4t - 11t.
nydimaria [60]

Answer:

So Equation ( 1 )  is NOT Equivalent to Equation ( 2 )

Step-by-step explanation:

Given:

11t - 4t ..............Equation ( 1 )

4t - 11t  ................Equation ( 2 )

To Find:

Whether Equation ( 1 )  is Equivalent to Equation ( 2 )

Support your answer by evaluating the expression for t = 2.

Solution:

For t=2 Equation ( 1 ) we get

11t - 4t=11(2) - 4(2)=22-8=14

For t=2 Equation ( 2 ) we get

4t - 11t=4(2) -11(2)=8-22=-14

From above we get two different values

So Equation ( 1 )  is NOT Equivalent to Equation ( 2 )

4 0
2 years ago
What is 39 in base two
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Answer:

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Step-by-step expla

5 0
2 years ago
What is the solution for w in the equation
Alja [10]

Answer:

Subtract 1/2 from both sides of the equation.

w=1/4w+1 1/2

Multiply both sides by 4

4w=w+6

Subtract w from both sides

3w=6

Divide both sides by 3

w=2

Check answer

2+1/2=1/4(2)+2

2 1/2=2 1/2

Step-by-step explanation:

8 0
3 years ago
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