Aperson is standing 50 ft from a statue. the person looks up at an angle of elevation of
16° when staring at the top of the statue. then the person looks down at an angle of
depression of 8° when staring at the base of the statue. how tall is the statue to the
nearest tenth of a foot?

The height of the statue is 21.4 feet.

Step-by-step explanation:

Given:

Distance of the person from the statue = 50 ft

Angle of elevation of the top of statue = 16°

Angle of depression of the bottom of statue = 8°

The diagram is drawn below.

In triangle ABC:

BC = 50 ft, ∠ABC = 16°

Using trigonometric formula;

Now, let us determine the height of man, 'x'.

Consider triangle BDE.

ED = 50 ft, ∠BDE = 8°

Using trigonometric formula;

Now, from the diagram, it is clear that, height of statue is given as:

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus

yes, gavin is right.

step-by-step explanation:

gavin is correct. 

this problem is about converting 9% per year to how many percent per quarter. the rate is still the same. it only differed in the time period. so, through dimensional analysis,

9% per year  × (1 year / 4 quarters) = 2.25% per quarter

if he was asked to convert 9% per year to how many percent per quarter  compounded quarterly, then you will not simply divide by four. this is because compounding is not linear.

hope this , have a good day. c;