Mia is standing 210 yd from a radio tower. the angle of elevation when she looks up to the top of the tower is 11°. to the nearest tenth of a yard, how tall is the radio tower?

40.8 yd

Step-by-step explanation:

From SOH CAH TOA, you know that the relationship between the adjacent side (distance to tower) and opposite side (height of tower) of the relevant triangle is given by ...

... tan(11°) = (height of tower)/(distance to tower)

Multiplying by the denominator, we have ...

... height of tower = (distance to tower) × tan(11°)

... = (210 yd) × 0.19438 ≈ 40.82 yd

Rounded to the nearest 0.1 yd, the height is 40.8 yd.

step-by-step explanation:

your mom

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.