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
Sonbull [250]
3 years ago
11

A fireman has 12 ft. ladder and a 16 ft ladder. He leans the 12 ft ladder against a house at an angle of 57 degrees. He leans th

e 16 ft ladder against a house 30-degree angle. Which ladder will he climb to the higher height? Explain you answer
Mathematics
1 answer:
Sedbober [7]3 years ago
4 0

Answer:

12 feet ladder

Step-by-step explanation:

Height of 12 ft ladder :

Using Pythagoras :

Tan θ = Adjacent / hypotenus

Tan 57 = h / 12

1.5398649 * 12 = 18.48 feets

For 16 feet ladder :

Tan θ = Adjacent / hypotenus

Tan 30 = h / 16

0.5773502 * 16 = 9.24 feets

18.48 > 9.24

Hence, he'll climb the 12 feets ladder to the higher height

You might be interested in
Which expressions are equivalent to 3 x + 3 * x + y
jasenka [17]

im sorry but i know x=6 if that helps

3 0
3 years ago
Can someone help me.
Sauron [17]

Answer:

The answer to your question is: 20°

Step-by-step explanation:

Data

m∠XZY = 40

m∠XZB = 20

Process

1.- Find the measure of ∠ XAB

   ∠XAB = 40°   because AB ║ YZ

2.- Find the measure of ∠ZAB

     ∠ZAB + ∠XAB = 180

    ∠ZAB = 180 - ∠XAB

    ∠ZAB = 180 - 40

    ∠ZAB = 140°

3.- Find the measure of ∠ABZ

    The sum of the internal angles in a triangle equals 180°

     ∠AZB + ∠ZAB + ∠ABZ = 180

     20° + 140° + ∠ABZ = 180

     ∠ABZ = 180 - 20 - 140

    ∠ABZ = 20°

7 0
2 years ago
given that sin theta= 1/4, 0 is less than theta but less than pi/2, what is the exact value of cos theta
lapo4ka [179]

Answer:

\cos{\theta} = \frac{\sqrt{15}}{4}

Step-by-step explanation:

For any angle \theta, we have that:

(\sin{\theta})^{2} + (\cos{\theta})^{2} = 1

Quadrant:

0 \leq \theta \leq \frac{\pi}{2} means that \theta is in the first quadrant. This means that both the sine and the cosine have positive values.

Find the cosine:

(\sin{\theta})^{2} + (\cos{\theta})^{2} = 1

(\frac{1}{4})^{2} + (\cos{\theta})^{2} = 1

\frac{1}{16} + (\cos{\theta})^{2} = 1

(\cos{\theta})^{2} = 1 - \frac{1}{16}

(\cos{\theta})^{2} = \frac{16-1}{16}

(\cos{\theta})^{2} = \frac{15}{16}

\cos{\theta} = \pm \sqrt{\frac{15}{16}}

Since the angle is in the first quadrant, the cosine is positive.

\cos{\theta} = \frac{\sqrt{15}}{4}

3 0
3 years ago
Barbara Bailey joined a bowling league. She paid a $18.00 entry fee plus $7.50 a week for 16 weeks. She purchased a bowling ball
larisa [96]
If you add them all up it comes out to $339.94
7 0
3 years ago
Read 2 more answers
PLS HELP I WILL DO ANYTHING PLS
olganol [36]
447 with 0 remainder
4 0
2 years ago
Other questions:
  • Clara writes the following proof for the theorem: If the diagonals of a quadrilateral bisect each other, the quadrilateral is a
    8·1 answer
  • Solve by completing the square.<br> X^2-2x-15=0 (help)
    6·2 answers
  • 17. Define p~q by the equation p~q=p?q?– 3q. Then 2~3 =
    10·1 answer
  • Joe baked 16 apple pies and 6 blueberry pies. Whitney bakes 19 apple pies and 12 blueberry pies . Who baked a higher ratio of ap
    7·2 answers
  • The SneakerRama Company makes and sells sneakers. They have one linear function that represents the cost of producing sneakers a
    8·1 answer
  • Kdyknuokknhnonn :) if you get this imma marry you right here right now.
    8·1 answer
  • HELP!!! =∆=<br><br>Applying the Pythagorean theorem, solve this triangle.​
    9·2 answers
  • Which equation could be used to find the length of the missing side of
    15·1 answer
  • 5m+2n-7-2m+15 Simplified expression
    10·1 answer
  • HELPPP ASAPPPPPPPPPPP
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!