Calculate the Height of a High Rise Building with Trig Word Problem

[aisha]

Jennie stands 30 m from the base of a high rise building. The angle of elevation from her eyes to the top of the tower is 70°. How high is the tower if her eyes are 1.8 m above the ground?

Is the answer to this 82.42 m + 1.8m=84.22 m?

 

[phreak]

tan(70) = x/30 = 82.42

82.42 + 1.8 = 84.22

Yup

 

[dextercioby]

tan(70) = x/30 = 82.42

82.42 + 1.8 = 84.22

Yup

Your first equation doensn't make any logical sense...
$$\tan 70°=\frac{h}{30}\sim 2.747 \Rightarrow h\sim 2.747\cdot 30=82.415m$$
Total height:approx.84.2 m.

Daniel.

PS.1.80m to her eyes,almost 1.90m in all:that's a giant *****...!

 

[The Bob]

Jennie stands 30 m from the base of a high rise building. The angle of elevation from her eyes to the top of the tower is 70°. How high is the tower if her eyes are 1.8 m above the ground?

Is the answer to this 82.42 m + 1.8m=84.22 m?

$$Tan \Psi = \frac {Opp}{Adj}$$

$$Tan 70 = \frac {x}{30}$$

$$x = Tan70 \times 30$$

$$x = 82.42$$

Then add 1.8m becaue of her eye level:

$$y = 82.42 + 1.8$$

$$y = 84.22m$$

Therefore I say you are right in what you originally said.

The Bob (2004 ©)

P.S. Well my eye level is about 1.95m

 

[qweretyq]

1.9 meters is not a giant...
its about 6 feet 3 inches...
im 6' exactly

 

[The Bob]

1.9 meters is not a giant...
its about 6 feet 3 inches...
im 6' exactly

If you check my post above I said that my eye level was about 1.95m (probably more now ) and I am not a giant. Just rather tall.

The Bob (2004 ©)

 

[dextercioby]

Since I'm only 1.71,i feel quite uncomfortable when a lady next to me is towering 20 cm more...Bob,if u were near a girl at 2.15,u'd feel the same way...

Daniel.

 

[iodmys]

1.90 meters is very tall for a girl, too tall, in fact. I'd say that she's "deformed."

 

[The Bob]

Since I'm only 1.71,i feel quite uncomfortable when a lady next to me is towering 20 cm more...Bob,if u were near a girl at 2.15,u'd feel the same way...

I most likely would but you find a female 2.15m

I have met a female almost as tall as me, two infact, and you do wonder why or how. Then you think why or how you are that tall as well.

The Bob (2004 ©)

 

[The Bob]

I'd say that she's "deformed."

A little harsh really.

The Bob (2004 ©)