Please help me with this math problem.

1)Find the angle of elevation of the sun from the ground when a tree that is

KIM [24]

Answer:

$\theta=41.18^{\circ}$

Step-by-step explanation:

Given that,

The height of the tree, h = 14 ft

The height of the shadow, b = 16 ft

We need to find the angle of elevation of the sun from the ground. Let the angle be θ. We can use trigonometry to find it. So,

$\tan\theta=\dfrac{P}{B}\\\\\tan\theta=\dfrac{14}{16}\\\\\theta=41.18^{\circ}$

So, the required angle of elevation of the sun is equal to $41.18^{\circ}$ .

7 0

3 years ago

A rectangle has an area of 96 cm2 The length of the rectangle is 4 cm longer than the width. Work out the length and width of th

Svetach [21]

Area of a rectangle: 2(L+W)
length: 4+W

Area: 2(4+W) + 2W = 96
8+2W+2W = 96
8+4W = 96
4W = 88
W= 22cm

Calculate for length: 2L + 2(22) = 96
2L + 44 = 96
2L = 52
L = 26cm

• The length is 26cm and width is 22 cm.

3 0

3 years ago

Which expression is equivalent to 3m+1-m?

Lisa [10]

Answer:

option (a) is correct.

2 + m - 1 + m is an equivalent expression to the given expression 3m+1-m

Step-by-step explanation:

Given expression 3m+1-m

We have to choose an equivalent expression from given options.

Equivalent expression are those expression that looks different but are same.

Like 4+2 = 6 and 3+ 3 = 6

Both have same value but looks differently.

Like terms are term having same variable with same degree.

Consider the given expression 3m+1-m

Simplify by adding like terms,

3m + 1 - m = (3-1) m + 1

Thus, (3-1) m + 1 = 2m + 1

Also 2m + 1 can be written as m + m + 2 - 1

Thus, option (a) is correct.

6 0

3 years ago

Read 2 more answers

I need help on all 3

a_sh-v [17]

Answer:

i think answer for 3 is,

3x+1=100

3x=99

x=33°

6y-16+5y-2=180

11y-18=180

11y=198

y=18°

8 0

3 years ago

The end of the cave is 380 meters below surface of the earth generate an integer to reoresent this profit

RSB [31]

The question says that the end of the cave is 380 meters below.

Lets say the sea level or the surface is at 0 meters or we can say that it is the reference level for us.

Now if we go up the height will be measured with positive integer but if we go down the depth will be represented by a negative integer.

Negative integer also represents the depth or the distance below the surface level.

Here we need to generate an integer that can represent the depth of 380 meters.

So if we are going down we will use negative integer to represent.

Therefore, the integer to represent the depth is $-380$ meters.

5 0

3 years ago