Geometry: finding angles of elevation and depression

[rachelmaddie]

I’m not sure if my calculations are correct for solving angles of elevation and depression

 

[Deleted member 4993]

View attachment 13975
I’m not sure if my calculations are correct for solving angles of elevation and depression

The units for (2) and (3) are incorrect.

 

[rachelmaddie]

The units for (2) and (3) are incorrect.

What did I do wrong?

 

[MarkFL]

1.) From the given information we may write:

[MATH]\tan(49^{\circ})=\frac{h}{400\text{ ft}}\implies h=400\tan(49^{\circ})\text{ ft}\approx460.1473628884\text{ ft}[/MATH]
2.) [MATH]\theta=\arctan\left(\frac{12.5}{18}\right)\approx34.8^{\circ}[/MATH]
You are finding an angle, so your units will be degrees, not meters. Same with 3.), your unit is wrong, but the calculation correct.

4.) You want to begin with

[MATH]\tan(19^{\circ})=\frac{120\text{ ft}}{x}[/MATH]

 

[rachelmaddie]

1.) From the given information we may write:

[MATH]\tan(49^{\circ})=\frac{h}{400\text{ ft}}\implies h=400\tan(49^{\circ})\text{ ft}\approx460.1473628884\text{ ft}[/MATH]
2.) [MATH]\theta=\arctan\left(\frac{12.5}{18}\right)\approx34.8^{\circ}[/MATH]
You are finding an angle, so your units will be degrees, not meters. Same with 3.), your unit is wrong, but the calculation correct.

4.) You want to begin with

[MATH]\tan(19^{\circ})=\frac{120\text{ ft}}{x}[/MATH]

Thank you!!