When the sun is at a certain angle in the sky, a 50-foot building will cast a -foot shadow. What is the length of the shadow in feet cast by a 20 -foot pole at the same time? Enter only the number.

0.40 foot

Step-by-step explanation:

In the first case, a 50 - foot building casts a- foot shadow (1-foot). Let the angle of elevation of the sun from the shadow be represented by θ.

Then:

Tan θ =

Tan θ =

Tan θ = 50

⇒ θ = 50

      = 88.8542

      =

The angle of elevation is approximately .

For a 20-foot pole,

Tan θ =

Tan =

x =

 = 0.4015

 = 0.40 foot

The length of the shadow of the pole is 0.40 foot.

d. 8

step-by-step explanation:

the given radical expression is:

we can rewrite this as:

we express as square numbers to get;

the exponents will now cancel out to give.

the correct answer is d