Question

PLEASE HELP

Answer 1

Answer:

Q1 B

Q2 23.7yd

Step-by-step explanation:

Solution of Q2 is in the picture

Answer 2

Answer:

a) $c^{2}=h^{2}+(b-x)^{2}=h^{2}+b^{2}-2bx+x^{2}$

Therefore letter B is the correct answer.

b) TP = 23.7 yards  

Step-by-step explanation:

a) We can rewrite $(b-x)^{2}$ as (b-x)(b-x), so we have a product of two binomials. We can use the FOIL method to multiply it:

$(b-x)(b-x)=b^{2}-bx-bx+x^{2}=b^{2}-2bx+x^{2}$

so the the Law of Cosines equation will be write as:

$c^{2}=h^{2}+(b-x)^{2}=h^{2}+b^{2}-2bx+x^{2}$

Therefore letter B is the correct answer.

b) Here we can use the Law of sines.

• TP is the distance between Tyrone and the piano
• DP is the distance between Diego and the piano
• TD is the distance between Diego and Tyrone.

∠A angle between TD and TP = 65°

∠B angle between TD and DP = 77°

∠C angle between TP and DP = 180° - 77° - 65° = 38°

The equation is:

$\frac{TP}{sin(B)}=\frac{TD}{sin(C)}$

$\frac{TP}{sin(77)}=\frac{15}{sin(38)}$    

Solving it for TP, we have:

$TP=sin(77)\frac{15}{sin(38)}=23.7 yards$  

I hope it helps you!