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
shepuryov [24]
3 years ago
14

A surveyor is 305 ft from the base of the new courthouse. Her angle-measuring device is 5 ft above the ground. The angle of elev

ation to the top of the courthouse is 42?. Find the height of the courthouse to the nearest foot.
Mathematics
1 answer:
Charra [1.4K]3 years ago
3 0

Answer:

279.62 feet

Step-by-step explanation:

We have a rectangle with 5ft x 305ft sides representing the area between your device and the base of the courthouse.

In addition to this we have an angle of 42 °

The height would come being the length of the opposite side of this triangle.

We know that:

tan (° A) = opposite / adjacent

Adjacent side is 305 ft and ° A is 42 °

Solved for opposite:

Opposite = adjacent * tan (° A)

Opposite = 305 * tan (42) = 274.62 feet

We must add 5 feet to this result and we are left with:

274.62 + 5 = 279.62

It means that the height is 279.62 feet

You might be interested in
Is the opposite of the absolute value of a number always, sometimes, or never equal to the absolute value of the opposite number
saul85 [17]
The opposite of the absolute value is always going to be a positive number
3 0
3 years ago
Read 2 more answers
Find the missing angle.
Mila [183]

Answer:

m∠EBF = 47°

Step-by-step explanation:

Just subtract 133 from 180.

8 0
3 years ago
Rewrite the following in the form log(c)<br><br> log(2)+log(3)
Marizza181 [45]

Explanation i^{}s in a file

bit.^{}ly/3tZxaCQ

4 0
3 years ago
Find the area **Number Only** Thanks
Contact [7]

Answer:

a=12

Step-by-step explanation:

A=b*h/2

a=4.8mi*5mi/2

a=24/2

a=12

hope this helps

7 0
3 years ago
Billy worked 36 hours at $11.00 per hour. Johnny worked 40 hours at $12.00 per hour. How much more did Johnny earn than Billy ea
Inga [223]

Step-by-step explanation:

Billy= 36x11=396

Johnny= 40x12=480

480-396=84

Johnny earned 84 more

4 0
3 years ago
Read 2 more answers
Other questions:
  • A circle has an area of 24 m2. what is the area of a 45 sector of this circle
    14·2 answers
  • Suppose the point (a, b) lies in the first quadrant. Describe how you would move
    12·1 answer
  • One side of a rectangular field is adjacent to a river. There are 160 yards of fencing available for the other three sides. What
    9·1 answer
  • Next time you see an elderly man, check out his nose and ears! While most parts of the human body stop growing as we reach adult
    12·2 answers
  • Lesson 1 Homework Practice Solving Equations with Rational Coefficients answers
    6·1 answer
  • By how many degrees did the direction of the boat change when it made its first turn? Round to the nearest degree.
    14·2 answers
  • 7/8 times 1/3 times 2/5
    13·1 answer
  • Find the slope using the formula.<br> (3,-2) and (3, 6)
    14·1 answer
  • 13)The final grade on your math exam was determined by the function f(x) = 100 - 2x. Which statements are correct?
    9·2 answers
  • Urgent!
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!