Spidermans web is 100 feet long. He wants to shoot his web at a projection of 30 degrees. How tall is the building if he is trying to reach the top of the building? 

50 ft

Step-by-step explanation:

The concept to apply here is that of laws of sine of an angle where;

Sine of an angle theta = opposite length / hypotenuse

Sin 30° = height of building / length of the web

Sin 30° = h / 100

h = 100 sin 30° = 100 * 0.5 = 50 ft

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation:

-2x + 7 = 7

subtract 7 from both sides.

-2x = 0

divide both sides by -2.

x = 0