Math  /  Trigonometry

QuestionE.g. Solve the following triangles: a. b. P=1809037=53cos37119qtan37=r19q=19cos37r=19tan37q23.8r14.3\begin{array}{l} \angle P=180^{\circ}-90^{\circ}-37^{\circ}=53^{\circ} \\ \cos 37^{\circ}-1 \frac{19}{q} \\ \tan 37^{\circ}=\frac{r}{19} \\ q=\frac{19}{\cos 37^{\circ}} \\ r=19 \tan 37^{\circ} \\ q \doteq 23.8 \\ r \doteq 14.3 \end{array} P=53,q23.8 cm,r19.3 cm\therefore \angle P=53^{\circ}, q \doteq 23.8 \mathrm{~cm}, r \equiv 19.3 \mathrm{~cm}

Studdy Solution
Calculate the approximate values of q q and r r using a calculator:
q23.8 q \approx 23.8 r14.3 r \approx 14.3
The solution for the triangle is:
P=53,q23.8cm,r14.3cm \angle P = 53^\circ, \, q \approx 23.8 \, \text{cm}, \, r \approx 14.3 \, \text{cm}

View Full Solution - Free
Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord