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3 years ago

Increase 40 by 1/2 I need help, im bad at mathematics.

Mathematics

1 answer:

Bess [88]3 years ago

6 0

Answer:

The answer is :60

Step-by-step explanation:

Hmmmm...... because

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A hot air balloon is flying at an altitude of 800 feet. A passenger takes a picture of the top of a tree and estimates that the

nalin [4]

The height of the tree given the depression angle to the top and the base

is given by the tangent relationship of the two given angles.

Correct response:

The height of the tree is approximately <u>79.58 feet</u>

<h3 /><h3>Methods used for the calculation of the height of the tree</h3>

Given:

Altitude of the hot air balloon = 800 feet

Angle of depression to top of tree = 43°

Angle of depression to base of tree = 46°

Required:

Height of tree

Solution:

The horizontal distance of the balloon from the tree is given as follows;

$\displaystyle tan(46^{\circ}) = \frac{Altitude \ of \ balloon}{Horizontal \ distance \ from \ tree} = \mathbf{\frac{800 \, feet}{Horizontal \ distance \ from \ tree}}$

Therefore;

$\displaystyle Horizontal \ distance \ of \ balloon \ from \ tree = \frac{800 \ feet}{tan(46^{\circ})}$

$\displaystyle tan(43^{\circ}) = \mathbf{\frac{Height \ of \ balloon \ above \ tree}{\dfrac{800 \, feet}{tan(46^{\circ})} }}$

Therefore;

$\displaystyle Height \ of \ balloon \ above \ tree = tan(43^{\circ}) \times \frac{800 \, feet}{tan(46^{\circ})}$

Height of tree = Altitude of balloon - Height of balloon above tree

Therefore;

$\displaystyle Height \ of \ tree = 800 \, feet - tan(43^{\circ}) \times \frac{800 \, feet}{tan(46^{\circ})} \approx \underline{ 79.58 \, feet}$

Learn more about angle of elevation and depression here:

brainly.com/question/1978238

4 0

2 years ago

A geometric sequence has these terms: a1 = 8, a2 = 20, az = 50, and a4 = 125.

stira [4]

Answer:

$a_{n}$ = 8 $(2.5)^{n-1}$

Step-by-step explanation:

The n th term of a geometric sequence is

$a_{n}$ = a $(r)^{n-1}$

where a is the first term and r the common ratio

Here a = 8 and r = $\frac{20}{8}$ = 2.5, thus

$a_{n}$ = 8 $(2.5)^{n-1}$

7 0

3 years ago

Help! the measure of XY = 140 find the measure of angle 0

Rina8888 [55]

Answer:

it's 140 ÷ 2 = 70

bcz the XY is a Inscribed angle

3 0

3 years ago

What is the slope of each line? Line A: y=-5x-2 Line B: y = 2x+3 X O The slope of line A=-5. The slope of line B = 2. O The slop

alexandr1967 [171]

Answer:

A: -5

B: 2

Step-by-step explanation:

4 0

3 years ago

The length of a rectangle is 3 yd less than twice the width, and the area of the rectangle is 65yd . find the dimensions of the

zhannawk [14.2K]

L=2w-3
65=w(2w-3)
65=2w²-3w
2w²-3w-65=0
2w²+10w
2w(w+5)
-13w-65
-13(w+5)
(2w-13)(w+5)
w=13/2
l=13-3
l=10
The width is 13/2 yd, and the length is 10 yd.

6 0

3 years ago