6.04 Angles of elevation and depression
Interactive practice questions
Find $x$x, the angle of depression from point $B$B to point $D$D.
Round your answer to two decimal places.
A vertical rectangle outlined with dashed lines has its vertices marked with solid dots and are labeled $A$A, $B$B, $C$C, and $D$D. A helicopter is positioned in vertex $B$B at the top left of the rectangle. A diagonal extends from vertex $B$B to vertex $D$D and forms two right-angled triangles. The length of diagonal $BD$BD is labeled $19$19 units. The $\angle CBD$∠CBD in the upper right-angled triangle is marked with a blue-outlined double arc and represents an angle of depression. The $\angle CBD$∠CBD is labeled as $x$x. The $\angle ABD$∠ABD in the lower right-angled triangle is marked with blue-outlined single arc. The $\angle ABD$∠ABD is labeled as $y$y. The top horizontal side $BC$BC is adjacent to $\angle CBD$∠CBD. The right vertical side $CD$CD is opposite $\angle CBD$∠CBD. The left vertical side $AB$AB is adjacent $\angle ABD$∠ABD. The bottom horizontal side $AD$AD is opposite $\angle ABD$∠ABD. The bottom horizontal side $AD$AD is labeled $9$9 units. The right angle at vertex $A$A of the lower right-angled triangle is marked with a small blue-shaded square. The right angle at vertex $C$C of the upper right-angled triangle is also marked with a small blue-shaded square.
Find the angle of elevation from point $C$C to point $A$A.
Use $x$x as the angle of elevation and round your answer to two decimal places.
The angle of elevation from an observer to the top of a tree is $29^\circ$29°. The distance between the tree and the observer is $d$d metres and the tree is known to be $1.36$1.36 m high. Find the value of $d$d to $2$2 decimal places.
Valentina measures the angle of elevation to the top of a tree from a point, $22$22 metres away from the base, to be $40$40°. Find the height of the tree, $h$h, to the nearest metre.