Consider right triangle ABC formed by the telephone pole (side AB) and ground (side BC). In this triangle AC is the length of the wire, BC is the distance from the base of the pole to the spot where the wire touches the ground and AB=15 ft, ∠ACB=42°.

Then

$\sin 42^{\circ}=\dfrac{AB}{AC}\Rightarrow AC=\dfrac{AB}{\sin 42^{\circ}}=\dfrac{15}{\sin 42^{\circ}}\approx 22.4\ ft.$
$\tan 42^{\circ}=\dfrac{AB}{BC}\Rightarrow BC=\dfrac{AB}{\tan 42^{\circ}}=\dfrac{15}{\sin 42^{\circ}}\approx 16.7\ ft.$

8 0

3 years ago

5/8 of 10 liters please :)

Finger [1]

Answer:

6.25liters

Step-by-step explanation:

5/8 × 10

Lcm is 8

5×10/8

50/8

6.25

So 5/8 of 10liters is

6.25liters

4 0

3 years ago

Read 2 more answers

Simplify 1/4(8x+16)+4x.

QveST [7]

Answer:

6x+4

Step-by-step explanation:

First thing to do is distribute 1/4 into the parenthesis. So 1/4 times 8x and 16. Which will give you 2x and 4. Then add like terms which will be 2x + 4x which is 6x. Then you have the 4 left over so your new equation is 6x+4.

6 0

3 years ago

Read 2 more answers