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
Evaluate the expression for x = 3 and y =7.<br> 4x + 3y - 32 =
SpyIntel [72]
The answer is 1
4(3)+3(7)-32=1
4 0
2 years ago
It costs $68 for 16 square feet flooring.how much does it cost for 12 square feet of flooring
ozzi
We know that it costs $68 for 16 square feet of flooring. To find out how much it costs for 12, we first have to find out how much it costs for 1 square foot.
To find that, we would do $68 divided by 16, which is 4.25.
That means 1 square foot costs $4.25.
Then, we would multiply $4.25 by 12 to find how much 12 square feet costs.
$4.25 times 12 is 51.

So, it would cost $51 to have 12 square feet of flooring.
8 0
3 years ago
Read 2 more answers
Please help! thanks!
NikAS [45]

Answer:

180 are men.

Step-by-step explanation:

it makes the most sense

7 0
2 years ago
Read 2 more answers
In the triangle above, the measure of A is 66°, and the measure of B is 68°. What is the measure of C?
valentina_108 [34]

Answer:

46°

Step-by-step explanation:

Given that :

Angle, A = 66°

Angle B = 68°

The sum of angles in a triangle is given by :

A + B + C = 180° (sum if angles una triangle)

66° + 68° + C = 180°

134° + C = 180°

C = 180° - 134°

C = 46°

Hence, angle C is 46°

6 0
3 years ago
Which expression is equivalent to (3−2^2) 5 ? 5−3^2 5−2^2 2^2−5 ​ 3^2−5
tamaranim1 [39]
Well (3-2^2)5 = -5
and 5-3^2=-4
5-2^2=1
2^2-5=-1
3^2-5=4
but if you have to multiply them by 5 as well then (2^2-5)5=-5
8 0
3 years ago
Other questions:
  • Josh is watering his plants. He gives each of 2 plants 3/5 pint of water. His watering can holds 1/5 pint. How many times will h
    15·1 answer
  • Let f(x)=x^2−4x. Solve f(x)=−4.
    5·1 answer
  • Mrs. Ringel booked a hotel room for 5 nights. She paid a total of $312.50. How much did Mrs. Ringel pay for the hotel room each
    5·1 answer
  • Explain how you could check the answer to a division question in which there is a remainder.
    15·1 answer
  • Which set of numbers could represent the lengths of the sides of a right triangle?
    8·2 answers
  • Please Please help me this is on my test. Geometry
    9·2 answers
  • Jefferson’s class was studying sunflowers. They learned that sunflowers are able to make their own food. Which parts of a sunflo
    12·1 answer
  • Which of the SMART criteria are NOT met by this data analytics project goal (pay close attention to whether the options are word
    11·1 answer
  • PLEASE HELP ME(NO FAKE ANSWERS) PLEASE 15 points! All my points
    15·1 answer
  • What do the diagram look like
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!