1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Olenka [21]
2 years ago
8

Standing 140 feet from the base of a tree, Alejandro uses his clinometer to site the top of the tree. The reading on his clinome

ter is 42 degrees. If his eyes are 6 feet above the ground, how tall is the building ?
Mathematics
1 answer:
Advocard [28]2 years ago
7 0

Answer:

132 feet

Step-by-step explanation:

Given that Alejandro is standing at a distance of 140 feet from the base of the tree and his eyes are 6 feet above the ground.

Let AB is the height of the tree and point E is the location of his eyes which is 6 feet above from C on the ground as shown in the figure.

The distance between points A and C, AC=140 feet.

Drawing a horizontal line from point E which meets AB at point D as shown.

As ACED forms a rectangle, so

AC=DE=140 feet ...(i)

CE=AD= 6 feet ...(ii)

The height of the tree, AB=AD+DB

By using equation (ii),  AB=6+DB ...(iii)

Now, given that the on watching the top of the tree, the reading on the clinometer is 42 degrees.

So,\angle DEB = 42^{\circ}

In triangle DEB,

\tan 42^{\circ} = \frac {DB}{DE} \\\\\Rightarrow DB = DE \times \tan 42^{\circ} \\\\

\Rightarrow DB = 140 \times \tan 42^{\circ} [from (i)]

\Rightarrow DB = 126 feet

From equation (iii) the height of the tree is

AB=6+126=132 feet.

Hence, the height of the tree is 132 feet.

You might be interested in
Which is an equation in point slope form of the line that passes through the points (7, 5) and (-4, -1)
emmasim [6.3K]

Answer:

y = (6/11)x + 13/11

Step-by-step explanation:

y = mx + c

m = (-1-5)/(-4-7) = -6/-11 = 6/11

y = (6/11)x + c

When x = 7, y = 5

5 = (6/11)(7) + c

5 = 42/11 + c

c = 5 - 42/11

c = 13/11

y = (6/11)x + 13/11

11y = 6x + 13

5 0
3 years ago
What is the image of (-1,8) after translation right 1 units and up 2 units
Vladimir79 [104]

Answer:(0,10)

Step-by-step explanation: Im pretty sure because of subtracting 1 from the -1 in your x value and adding 2 to the 8 in you Y value

4 0
3 years ago
What response is not equal to 24<br> 4 x 4<br> 8<br> 16<br> 2 X 2 X 2 X 2
stealth61 [152]

Answer:

8 and 16 are not equal to 24

7 0
3 years ago
Read 2 more answers
Will is w years old <br> Ben is 3 years older <br> Write an expression, in terms of w, for bens age
Westkost [7]
Ben is w+3 years old.
7 0
3 years ago
HELP I NEED HELP ASAP
aleksandrvk [35]

Answer:

I cannot see the picture

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Evaluate 4x-7 when x=5
    12·2 answers
  • A length of rope is stretched between the top edge of a building and a stake in the ground. The rope also touches a tree halfway
    6·1 answer
  • Find the two points of segments AB that divide the segment into three congruent parts. Point A has coordinates (0,0) and point B
    5·1 answer
  • When you roast the coffee, it loses 12% of its weight. How much fresh coffee do you need in order to get 14 225 lb. of roasted c
    5·2 answers
  • What is the slope of the line given by the equation y=11x
    13·1 answer
  • The number 25 is a perfect square true or false true
    9·2 answers
  • Which one is correct ?
    8·1 answer
  • How many terms are in the expression 2m3 + 6n - 4?
    11·1 answer
  • Find the solutions of the quadratic equation -9x2 +2 +3 = 0.
    11·1 answer
  • Is anyone able to figure this out, I can't do this
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!