wo buildings are on the opposite sides of a highway. From the ground floor of one building, the angle of elevation of Daisy's room is \( 28^{\circ} 40^{\prime} \) and the angle of elevation of Immanuel's room is \( 71^{\circ} 40^{\prime} \). Find the distance between the two buildings and the height of Immanuel's room from the ground if the distance between the two rooms is 125 ft .

tan \( 0.8035=\underline{\text { Blank } 1} \) (Express your answer in 3 decimal points) Blank 1 Add your Thnswer

[6] If \( \cot (90-\theta)=\cot (2 \theta), 0<\theta<90 \), then \( \sin 3 \theta=\ldots \ldots \) (a) 3 (b) 4 (c) 2 (d) 1

\( \csc 82.4^{\circ}= \) Blank 1 Express your answer in 3 decimal points.

[3] If \( \sin \theta=\frac{3}{5} \) where \( 90<\theta<180 \), then \( \sin (180-\theta)+\cos (\theta-90)=\ldots \ldots \ldots \) (a) \( \frac{4}{5} \) (b) 1 (c) \( \frac{6}{5} \) (d) \( \frac{-6}{5} \)

\( \left(\sec 79.36^{\circ}\right)\left(\sin 79.36^{\circ}\right)-\left(\tan 79.36^{\circ}\right)=\underline{\text { Blank } 1} \)