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
Sindrei [870]
3 years ago
13

From a boat on the lake, the angle of elevation to the top of a cliff is 26°35'. If the base of the cliff is 85 feet from the bo

at, how high is the cliff (to the nearest foot)?

Mathematics
2 answers:
Trava [24]3 years ago
5 0
Check the picture below

now, <span>26°35' is just 26bdegrees and 35 minutes

your calculator most likely will have a button [ </span><span>° ' " ]  to enter degrees and minutes and seconds

there are 60 minutes in 1 degree and 60 seconds in 1 minute

so.. you could also just convert the 35' to 35/60 degrees

so </span>\bf 26^o35'\implies 26+\frac{35}{60}\implies \cfrac{1595}{60}\iff \cfrac{319}{12}&#10;\\\\\\&#10;tan(26^o35')\iff tan\left[ \left( \cfrac{391}{12} \right)^o \right]

now, the angle is in degrees, thus, make sure your calculator is in Degree mode

jek_recluse [69]3 years ago
5 0

Answer:

x=42.5 feet

Step-by-step explanation:

It is given that From a boat on the lake, the angle of elevation to the top of a cliff is 26°35'. If the base of the cliff is 85 feet from the boat, thus using trigonometry, we have

\frac{AB}{AC}=tan26^{\circ}35'

Substituting the given values, we get

\frac{x}{85}=tan26.6^{\circ}

⇒x=85(tan26.6^{\circ})

⇒x=85(0.500)

⇒x=42.5 feet

Therefore, the height of the cliff is 42.5 feet.

You might be interested in
Terms are also expressions.<br> No<br> Some<br> А All<br><br> PLZ ANSWER FAST
luda_lava [24]
The answer would be some
3 0
2 years ago
2 x 6/7 <br><br> SEND HELP!!!!!!!!!!!
Allushta [10]

Answer: C. 2 6/7

Hope that helped! :)

8 0
3 years ago
What is the probability of spinning an odd number and rolling and odd number?
GalinKa [24]

how many numbers does the spinner have on it?


4 0
3 years ago
Need help idk how to slove this
Gemiola [76]

Hi!

I'm not sure how to slove this, but I do know how to solve it ;D

<h3>We can't know the exact value of y, but we can isolate y on one side. First, multiply by z on both sides. </h3>

\frac{x+y}{z*z}=3*z

x + y = 3 * z

<h3>Now subtract x from both sides.</h3>

x - x + y = 3 * z - x

<u>y = 3 * z - x</u>

<h2>The answer is y = 3 * z - x</h2>

Hope this helps! :)

-Peredhel

8 0
2 years ago
Read 2 more answers
Are you supposed to put a period at the end of a verbal expression in algebra?
ivann1987 [24]
Nope :) hope this helps!
6 0
2 years ago
Other questions:
  • 74 increased by 3 times y
    5·1 answer
  • When using Cramer's Rule to solve a system of equations, if the determinant of the coefficient matrix equals zero and at least o
    15·1 answer
  • Please help me do number 16
    15·1 answer
  • Karen deposited $5,000 as a certificate of deposit (CD) in a bank for a period of 3 years. The CD pays simple interest of 15% pe
    8·1 answer
  • What are the independent and dependent variables?
    12·1 answer
  • Pls pls pls pls help me i nerd help asap i will give BRAINLIEST!!!!!!
    10·2 answers
  • What you get when you add numbers together
    9·1 answer
  • Jerome works as a waiter. He earns $80 each weekend plus 15% in tips on meals served. Jerome served $725 worth of meals last wee
    13·1 answer
  • Norio, Gayle, and Tonya are playing a card game. They have a stack of red cards, a stack of yellow cards, and a stack of green c
    5·1 answer
  • Jacque was selling bottles of water at the golf tournament Between 7 am and 8 am he sold 2 bottles of water, between 8 am and 9
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!