Question

In the figure given below, the angles of depression from the observing positions D and E of the object at A are respectively

O 60°, 30°
O 30°, 30°
O 30°, 60°
O 60°, 60°​

Answer 1

Answer:

60°,30°

..... ....... ..... .........

Answer 2

The angles from D and E of the object at A are (c) 30° , 60°  respectively.

Step-by-step explanation:

We are given a figure in which we have two right angled triangles $\triangle ADC$ and $\triangle AEB$ .

$\angle ACD$  and $\angle ABE$ are right angles having 90°.

$\angle ADC =60\°$  and $\angle EAB =60\°$

We have to find the angles of depression from the observing positions D and E of the object at A  that is $\angle DAC$ and  $\angle EAB$ .

$\angle EAB$  is already given to us we have to find only $\angle DAC$.

• Formula used,

Sum of all angles of a triangle $=180\°$

• Calculation for $\angle DAC$

$\angle DAC$ is the part of $\triangle ADC$  and we are given with two angles of this triangle so we can find third angle by simply using formula such as,

$\angle ADC+\angle ACD +\angle DAC = 180\°$

$60\°+90\°+\angle DAC=180\°$

$150\°+\angle DAC =180\°$

$\angle DAC=180\°-150\°$

$\angle DAC= 30\°$

In this way we get the $\angle DAC= 30\°$

The angles of depression from the observing positions D and E of the object at A are (c) 30° and 60° respectively.