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
djyliett [7]
3 years ago
7

In ΔNOP, the measure of ∠P=90°, the measure of ∠N=59°, and PN = 7.4 feet. Find the length of OP to the nearest tenth of a foot.

Mathematics
1 answer:
lina2011 [118]3 years ago
8 0

Answer:

12.3 feet.

Step-by-step explanation:

As we are given that \triangle NOP is an right angled triangle.

\angle P = 90 ^\circ \\\angle N = 59 ^\circ\\Side\ PN = 7.4 \text{ feet}

And we have to find out the value of side OP to the nearest tenth of a foot by rounding off the value as seen in the attached figure as well.

By using Trigonometric functions in a right angled \triangle, we know that:

tan \theta = \frac{Perpendicular}{Base}

Here, \theta is \angle N, Perpendicular is side <em>OP</em> and Base is side <em>PN</em>.

So, tan 59^\circ = \frac{OP}{PN}

\Rightarrow OP = PN \times tan59^\circ

Putting the values of <em>PN </em>and tan59^\circ.

OP = 1.66 \times 7.4\\\Rightarrow OP = 12.3 ft

Hence, the value of <em>OP </em>is 12.3\ feet.

You might be interested in
What is the answer to this question?
Tanya [424]

Answer:

a^(-1/2) = 1/sqrt(a) = 3

so.

sqrt(a) = 1/3

a = 1/9

6 0
3 years ago
The systematic repayment of a loan through a set number of payments at a
Romashka-Z-Leto [24]

Answer:

D

Step-by-step explanation:

Amortization is the systematic repayment or writing off a loan through a number of payments at a specific interest rate.

6 0
3 years ago
4 × (28 ÷ 7)2 = <br> HURRYYYYY
umka21 [38]

The answer is 32

hope this helps! :)

8 0
3 years ago
Will give brainlesr please help im 25% blind
My name is Ann [436]

Answer:

Option D

Step-by-step explanation:

the height of the first rectangle ( 30 ) over the height of the other rectangle     ( 3 )  is 30/3 and equals 10

the length of the first rectangle ( 60 ) over the length of the second rectangle  ( 6 )  is 60/6 and equals 10

the ratio of the sides of both rectangles are equivalent therefore the are similar

3 0
3 years ago
2 d2 + 15d + 23 = 3<br> It’s quadratic formula
DENIUS [597]

Answer:

-15 plus or minus the square root of 65 all over 4 (All over means fraction)

4 0
3 years ago
Other questions:
  • Find the area of the shape shown<br> below.
    15·1 answer
  • In circle Y what is m angel 1 <br><br> 6<br> 25<br> 31<br> 37
    10·2 answers
  • Which three-dimensional object is formed when the shape is rotated about the axis as shown?
    6·1 answer
  • Graph the linear function d(x)=−1/2x−3.
    11·1 answer
  • The soccer team scored three goals in their first game seven goals in their next game in two goals
    7·1 answer
  • HELP! WILL GIVE BRANLIEST! + EXTRA POINTS!
    15·1 answer
  • Can someone explain step by step?
    10·2 answers
  • 50 POINTS PLZ HELP I NEED IT IN 30 MINUTES!!!!!!!! find the smallest 2 digit number that is 36 more than the number with its dig
    14·2 answers
  • Susan designed a circular pool with diameter of 25 meters. What is the area of bottom of the pool. Round to the nearest tenth
    15·1 answer
  • Need friends do u want a friend?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!