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
Gwar [14]
2 years ago
8

The hypotenuse of a 30 -60 -90 triangle is 13cm. What is the length of the shorter leg?

Mathematics
1 answer:
Ivahew [28]2 years ago
6 0

Answer:

(13/2) cm

Step-by-step explanation:

The hypotenuse here is of length 13 cm.  The shorter leg lies opposite to the 30° angle.  Recall that the sine function is defined as

              opposite side

sin Ф = -----------------------

                 hypotenuse

which, in this case, works out to:

                opposite side

sin 30° = -----------------------

                       13 cm

and so the length of the opposite side (which is also the "shorter leg") is

shorter leg length = (13 cm)(sin 30°) = (13 cm)(1/2) = (13/2) cm

You might be interested in
A silo is a storage bin that is a cylinder with a hemisphere on top.A farmer has a silo with a base radius of 30 feet and a stor
vladimir1956 [14]
1000 square feet of wheat produces 250 pounds of grain.

7 0
3 years ago
Find the amount of sap the maple syrup producer collected from each tree if the total amount (5 gallons) was redistributed equal
enot [183]
It would be 20 you welcome
7 1
3 years ago
Read 2 more answers
The difference between the two numbers is 48. The ratio of the two numbers is 7:3. What are the two numbers?
OlgaM077 [116]

Let the bigger no. be X and the smaller no. be Y

X-Y=48

7-3=4

48÷4=12

X=12×7=84

Y=12×3=36

6 0
3 years ago
Read 2 more answers
The angle of elevation to the top of a skyscraper is measured to be 2° from a point on the ground 1 mile from the building. How
Nadusha1986 [10]

See picture below for a geometric view.


Let x = height of building


We use basic trigonometry to find x.


The tangent function = opposite side of right triangle OVER adjacent side of right triangle.


tan(2°) = x/1


Solve for x.


After multiplying both sides by 1 (here 1 represents 1 mile), we get

tan(2°) = x.


We now use the calculator to find x.


In fact, you can take it from here. Use your calculator.


3 0
3 years ago
Jack has $24 in one-dollar and five- dollar bills. He has a total of 8 bills. How many of each bill does he have?​
mylen [45]
He has 4 $5 bills and 4 $1 bills
3 0
2 years ago
Read 2 more answers
Other questions:
  • Help for Geometry #6 and 7
    9·1 answer
  • How do i simplify this answer (x+2)(x+1)
    14·1 answer
  • The surface area of a rectangular prism is 208 cm. Two of the dimensions are 2cm and 10 cm. Find the measure of the other dimens
    14·1 answer
  • Daisy is making solid spikes for her Halloween costume. The spikes are shaped like right circular cones with base radius of 2 in
    13·1 answer
  • A vendor at the State Fair has learned that, by pricing his deep fried bananas on a stick at $1.00, sales will reach 82 bananas
    12·1 answer
  • Solve. -1/2+(3/4*4/9)=
    15·1 answer
  • Whats is a thousode divided by 32
    7·2 answers
  • a train travels 16 miles in 20 minutes . at this rate how many minutes will it take to tavel 12 miles
    11·2 answers
  • Determine the range of the following graph:
    5·2 answers
  • If v•w=0, then the two vectors v and w are
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!